Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)

Answers

Answer 1

Answer:

[tex]y=-5x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,-3) and (-3,17)

[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]

Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in one of the given points and solve for b

[tex]-3=-5(1)+b\\-3=-5+b[/tex]

Add 5 to both sides of the equation to isolate b

[tex]-3+5=-5+b+5\\2=b[/tex]

Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+2[/tex]

I hope this helps!


Related Questions

Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.

A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent

Answers

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

translation (aka shifting)rotationreflection

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

HELlLlLlPllLl is it
10

2

1

9

Answers

Answer:

2

Step-by-step explanation:

Answer: 2
As you can see, In the list of Numbers there are TWO SETS of 8.5 (As shown, I circled the two) meaning you should put 2 "x's" over 8.5. If you need more of an explanation, please let me know.

If available please give me a Branliest. It would be much appreciated, and it would also help me answer more and more difficult questions! Good luck.

-MathHotdog •~•

Jacob buys 8 copies of a book for presents for friends. It costs her a total of $119.60. Write an equation that can be used to find out how much each book, b, was sold for.

Answers

Answer:

8b=119.60

Step-by-step explanation:

8b=119.60

B=14.95

Is each statement true for OA? Drag “true” or “false” below each statement

Answers

Answer:

true. true. false.

Step-by-step explanation: i’m in love with the shape of u. we push and pull like magnet whatever

Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Distance of point A of rectangle ABCD = 5 units

Distance of point E of rectangle EFGH = 5 units

Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.

Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.

Let's check by the rule of reflection,

Rule for the reflection of a point (x, y) across y-axis is given by,

(x, y) → (-x, y)

Following this rule,

A(-5, 5) → E(5, 5)

B(-3, 4) → F(3, 4)

C(-4, 1) → G(4, 1)

D(-6, 2) → H(6, 2)

Therefore, rule for the reflection is applicable in this question.

Option A will be the answer.

PLEASE HELP QUICK
graph and show work and i will give 30 points

Answers

The equation is
4x-2y=-2
4x=2y-2
4x+2=2y
2x+1=y

Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

secA = [tex]\frac{65}{63}[/tex]

Step-by-step explanation:

cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]

This is a right triangle with hypotenuse = 65, opposite = 16 and

adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63

Then

secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]

Can i plz get some help been stuck for while
What is the volume of the shape shown

Answers

Answer:

Yea sure its 102.5meters squared

The cost of a computer processor is directly proportional to its speed.
A 4GHz processor costs £400.

Find the cost of a 6GHz processor

Answers

Answer:

Step-by-step explanation:

If cost is directly proportional to speed, then the equation for this is

£ = ks, where k is the constant of proportionality. We need to solve for this first.

400 = k4 so

100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:

£ = (100)(6) so

£ = 600

which is the correct classification square root of 32?

Answers

Answer:

5.65

Step-by-step explanation:

But if you need to round it would be 6.

Hope this helps!

Good Luck!

aasaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk

Step-by-step explanation:

dfjdbfjfshdgdsjhdh

Answer:

aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

hee haw i beat u i put more a's in my answer

Please help i'm struggling with this!

Answers

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3

Answers

Answer:

raj

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Have a nice day

Is this right? ASAP PLS HURRY!

Answers

no it isn’t u have to swap them out. is this right? asap pls hurry

What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2

Answers

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

What is the perimeter of the parallelogram???

Answers

answer: 22

explanation: the easiest way is to separate one of the diagonals into a triangle and use the pythagorean theorem.
a^2 + b^2 = c^2
4^2 + 3^3 = c^2
16 + 9 = c^2
25 = c^2
5 = c
you now know that both of the diagonals have a length of 5.
by counting the units on the two straight, you know that their length is 6.
6 + 6 + 5 + 5 = 22

B
20°
?
A
4.
С
( I need an answer )

Answers

Answer:

10.9899097

Step-by-step explanation:

Trigonometry.

Tan = opposite/adjacent

Adjacent = Opposite / Tan(20)

g(x) = 3x -1. Find x such that g(x)= 2​​0​.
g​(x)= 3x+1. Find x ​​​such that g(x)= 22​​​​.​

g(x)= ​2x-5. Find g(1/2) and g(a)=9​​​​​​9.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0​​​​​​​​​​

Please solve this quickly. I need it right now​​​​​. No silly answer will not be allowed.

Answers

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?

Answers

Answer:

x - y = 25

Step-by-step explanation:

3x - 4y = 15

-2x + 3y = 10

Add the two equations together

 3x - 4y = 15

-2x + 3y = 10

----------------------

x - y = 25

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

>> 3x - 4y = 15

>> -2x + 3y = 10

Add the two equations together

>> 3x - 4y = 15

>> -2x + 3y = 10

----------------------

Hence, x - y = 25

the value of each square root

Answers

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

Answers

Answer:

3mm brainliest please

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

9mm times 1:3 of the rectangle is 245

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

C = 4 pi ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Solving for r

4 pi = pi r^2

Dividing each side by pi

4 = r^2

Taking the square root of each side

sqrt(4) = sqrt(r^2)

2 = r

Now we can find the circumference

C = 2 * pi *r

C = 2*pi*2

C = 4 pi ft

What is the value of x?
45°
m
(2x-5)
n

Answers

Answer:

x = 70

Step-by-step explanation:

The two angles are same side interior angles and same side interior angles add to 180

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x =140

Divide by 2

2x/2 = 140/2

x = 70

Answer:

x=70

Step-by-step explanation:

hope it helped! :)

have a nice day

Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.

Answers

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

Please help I will give brainliest to whoever answer correct first

Answers

The correct answer is y=1/3x-3

A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?

Answers

Answer:

152 gallons

Step-by-step explanation:

76÷4=19

19x8=152

Answer:

152 miles

Step-by-step explanation:

76 x 2 = 152

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.

Answers

Answer:

A, or "The height does not lie on the base because it's perpendicular to the base."

Step-by-step explanation:

EDGE 2021

Option A is correct, the height does not lie on the base because it is perpendicular to the base.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.

We have to find the Jalen’s error.

As we know that height does not lies on the base because it is perpendicular to the base.

The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.

Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

I just want to make sure or is it b?

Answers

I believe the answer should actually be

C.) It is a one to one function

A one to one function is a function in which the x and y values never repeat. Each value of x is different every time, and they never have the same values of y.

According to the graph, what is the factorization of x2 - 6x + 5?

A. (x + 5)(x+1)

B. (x - 5)(x+ 1)

C. (x - 5)(x - 1)

D. (x + 5)(x - 1)​

Answers

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

How to determine the factorization?

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

Read more about factorization at:

https://brainly.com/question/11579257

#SPJ1

Help pls pls pls pls

Answers

Answer:

C

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation:

y = 2x +5

5 = 2*0 +5

5 = 0 +5

5=5

y = 2x +5

9 = 2*2 + 5

=9 = 4 +5

9=9

y = 2x +5

13 = 2*4 +5

13 = 8 + 5

13 = 13

therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.

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