What is an equation of the line that passes through the points (-6,3) and (-5,2)

Answers

Answer 1

Answer:

y=-x-3

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6,3) and (-5,2)

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

The most common way to write the equation of the line is in slope-intercept form, so let's do it that way.

First, we'll need to find the slope of the line

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Although we already have 2 points, let's label their values in order to avoid confusion later:

[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]

Now substitute these values into the formula to find slope (m):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{2-3}{-5--6}[/tex]

Simplify:

m=[tex]\frac{2-3}{-5+6}[/tex]

Add/subtract the numbers together:

m=[tex]\frac{-1}{1}[/tex]

Divide

m=-1

We can substitute this as m in y=mx+b:

y=-1x+b, or y=-x+b

We need to find b now

Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b

Taking (-6, 3) for example:

Substitute -6 as x and 3 as y

3=-1(-6)+b

Multiply

3=6+b

Subtract 6 from both sides

-3=b

Substitute -3 as b into the equation

y=-x-3

Hope this helps!


Related Questions

Can you help me on this question Plss??

Answers

linear and consistent

Patricio bought a fish. The scale showed that the fish weighed more than 2.56 pounds but less than 2.57 pounds.

Answers

Answer:

The fish weighed 2.565 pounds.

Step-by-step explanation:

I grabbed what was half of 10 and put it at the end, to get the middle of the 2 numbers.

Is the following number rational or irrational?

0.4
——
0.8

Choose 1 answer:

Rational
or
Irrational

Answers

0.4/0.8

= 4/10 × 10/8

= 4/8

= 1/2

= 0.5

0.5 is a RATIONAL number (A).

=》0.5 is a rational number because it's in the form of p/q (5/10) where both p & q are integers & q is not equal to 0.

=》 Also, q can be expressed in the form of 2ⁿ × 5ᵐ (q = 10 = 2¹ × 5¹) which makes it a rational number.

_____

RainbowSalt2222 ☔

Answer:

A.rational

please make me as brainlist i need it please

Solve for
98=.71
i need asap

Answers

Answer:

There's no solution for this.  Are you sure you wrote the problem correctly?

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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part 2 to math homewokr

Answers

sorry di ko alam

Step-by-step explanation:

Givin P(X)=0.35, P(Y)=0.45, and P(Y|X)=0.25, what are P(X and Y) and P(X or Y)

Answers

Answer:

[tex]P(Y|X)=\frac{P(Y\cap X)}{P(Y)} \\ P(Y\cap X) = P(Y)P(Y|X) \\ = 0.45 \times 0.25 \\ \boxed{P(Y\cap X) =0.1125} \\ P(Y\cup X) = P(Y) + P( X) - P(Y\cap X) \\ = 0.45 + 0.35 - 0.1125 \\ \boxed{P(Y\cup X) =0.6875}[/tex]

what is the radical simplified expression of 16^5/4

Answers

Radical form → [tex]\sqrt[4]{16^{5} }[/tex]

The actual value:

Write as [tex](\sqrt[4]{16} )^{5} =2^{5} =32[/tex]

sqrt(4)((16)^{5))  

Step-by-step explanation:

Value

(4,16))^5 = 2^5 = 32

What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875​

Answers

First term: 3

Exiplicit formula:

[tex]3/5*5^n[/tex] or 3x5^n-1

Hope this helps!

The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

As per the given GP series,

3,15,75,375, 1,875​

The common ratio r = 15/3 = 5

First term a = 3

The nth term is given as a[tex]r^{n-1}[/tex]

Therefore,

The nth term will be as, 3 × [tex]5^{n-1}[/tex]..

Hence "The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex]".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ2

what is the initial value of the graph?​

Answers

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y- value of the point at which the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope. Which statement best describes a geometric sequence?

Step-by-step explanation:

i hope this helps ik im slow at this

Find the distance between (4,5) and the line y=-3/2x-2

Answers

Answer:

15

17

5

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5

Answer:

1517

Step-by-step explanation:

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5

Hey , can someone please help me with this problem.

Answers

Answer:

Ok so for intrest you use the formula

I=prt

so we just multiply everthing together

800*0.03*6=144

She'll make 144 dollars

Hope This Helps!!!

-26a-19-35=-84 . show work!!

Answers

Step-by-step explanation:

-26a-19-35=-84

-26a-19+(19)-35=-84+(19)

-26a-35=-65

-26a-35+(35)=-65+(35)

-26a=-30

-26a/26=-30/26

can you scale up to 1,120 from 2? or, can you determine how many moose per one person?

Answers

The scaling up of 1,120 from 2 requires that we have; 560 moose per one person.

Scaling up 1,120 from 2 requires determining the conversion factor of 2 to 1,120

Conversion factor, c.f = 1,120/2

c.f = 560

In essence, the scaling up of 1,120 from 2 requires that we have; 560 moose per one person.

Read more;

https://brainly.com/question/9245595

If x= (5/8)^2 x (12/15)^2 then the value of x^3 is

#Explanation please
#No spam​

Answers

Step-by-step explanation:

[tex]\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2[/tex]

We need to Find:

value of x³

[tex]\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} [/tex]

[tex]\sf \longmapsto 2 \times 2[/tex]

[tex]\sf \longmapsto \: x = 4[/tex]

[tex]\sf \longmapsto \: x {}^{3} [/tex]

Put 4 in the place of x

[tex]\sf \longmapsto {4}^{3} [/tex]

[tex]\sf \longmapsto4 \times 4 \times 4[/tex]

[tex]\sf \longmapsto64 {}^{1} [/tex]

[tex]\boxed{\sf x^3≈64 {}^{}} [/tex]

Evaluate 2(8 + t)3 – 6 when s = 3 and t = 2.

+) The value of the expression is 250

Answers

Step-by-step explanation:

s = 3 and t = 2

= 2(8 + t)³ - 6

= 2(8 + 2)³ - 6

= 2(10)³ - 6

= 2(1.000) - 6

= 2.000 - 6

= 1.994

A camera has a listed price of $750.99 before tax. If the sales tax rate is 8.25% find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

we get $812.95:  total cost

Step-by-step explanation:

The sales tax on this $750.99 camera is found as follows:  0.0825($750.99) = $61.96.  Adding this amount to the $750.99 price, we get $812.95:  total cost.

A faster way to calculate the total cost is to multiply $750.99 by (1.0825):  again we get $812.95

d=8-u
make
U the subject

Answers

Answer:

U=-d+8

Step-by-step explanation:

To get u by itself, you subtract 8 from both sides and multiply by -1 to get positive u.

Tania measured the growth of her plant each week. The first week, the plant's height measured 2.65 Decimeters. During the second week, Tanias plant grew 0.8 Decimeter. How tall was tanias plan at the end of the second week?

Answers

Answer:

2.65+0.8=3.45

Step-by-step explanation:

breh

Now that you’ve calculated all the missing values, complete the table.

Answers

Missing Blank for:

Raul and his friends: (3/4) / (1/20) = 15

Items: 15

Cars: (7/8) / 2 = 7/16

Weight per item: 7/16

Baby elephants: (3/4) / (3/8) = 2

Items: 2

Goats: (1/2) / 4 = 1/8

Weight per item: 1/8

Desks: (3/8) / (1/32) = 12

Items: 12

Calculate (1.11) and (8.2)

Answers

Answer:

9.102

Step-by-step explanation:

Assuming this means multiply to each other

1.11 x 8.2 = 9.102

9.102
Guessing this it multiplication
1.11 • 8.2 = 9.102

-5n+6> -7(5n-6)-6n what is that simplified

Answers

Answer:

n>1

Step-by-step explanation:

Answer:

n>1

Step-by-step explanation:

[tex] - 5n + 6 > - 35n + 42 - 6n \\ 36n - 36 > 0 \\ 36(n - 1) > 0 \\ n > 1[/tex]

Please help. ASAP. Work out, giving your answer in its simplest form:


3 1/2 divided by 2 3/5

Answers

Answer:

26/35

Step-by-step explanation:

1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions

First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.

You keep the denominator the same so the improper fraction is 7/2

Do the same thing to 2 3/5 and the improper fraction is 13/5

2. Now we can divide 13/5 by 7/2 using "keep, change, flip"

Keep: 13/5

Change: division to multiplcation

Flip: 7/2 to make 2/7

Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35

If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places

hope this helps :)

The equation y = Mx + B corresponds to a line that fits the data in the scatter plot below. What are the signs of M and B?A.M is positive; B is negative.B.M is negative; B is positive.C.Both M and B are positive.D.Both M and B are negative.

Answers

Answer: y = mx + c

Step-by-step explanation: Hope this helps :)

1/5
of a
number is 105

Answers

Answer:

525

Step-by-step explanation:

Let the number be " x ".

1 / 5 of x is 105

x / 5 = 105

x = 105 x 5

x = 525

Therefore,

the number is 525.

Answer:

525

Step-by-step explanation:

1/5 of a number is 105, and the number is

105 * 5 = 525

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

check

525 * 1/5 = 105

the answer is good

Find the slope of each line please help

Answers

Answer: The slope should be 2/3

Step-by-step explanation: Slope is rise over run. Remember you always rise before you run. So in this case you start at the origin and go up until you get to the point on the line where the line is centered. You go up 3 times and thats where the first actual point is. Then move to the side until you get to the line which is 2 to the right. so therefore your answer is 3/2

how to determine if a continuous graph is a function

Answers

Answer: A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper.

Step-by-step explanation:

helpppppppppppppppppppppppppppp

Answers

Answer:a is 14, b is 70%, c is 250

Step-by-step explanation:

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) No solution

Step-by-step explanation:

Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:

Both equations in the system have the same slope, m = 2, thus forming parallel lines.  Since their lines are parallel from each other, then it means that their lines will never intersect.

Therefore, the given systems of linear equation is an inconsistent system that has no solution.

whats the answer for this??

Answers

Answer:

b=4

Step-by-step explanation:

b=4 because 10 x 4 is 40.

b=4 that’s the answer

Evaluate if x = -2.


5-4x​

Answers

Replace x with -2: 5-4(-2)
Multiply: -4 times -2 equals 8
Subtract: 5-8=3
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