A line passes through the points (6,-6) and (9,-5). What is it’s equation in point slope form?

Answers

Answer 1

Answer:

[tex]y=\frac{1}{3}x-8[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](6,-6)[/tex] and [tex](9,-5)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-5-(-6)}{9-6}=\frac{1}{3}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]-6=\frac{1}{3}(6)+b, \\ b=-8[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=\frac{1}{3}x-8$}[/tex].


Related Questions

Using the graph below graph y = sin(2x + 7) by plotting two points.

Answers

Answer:

Look at the graph below, hope this was helpful :)

Step-by-step explanation:

x^2+5x-6 how do i factor this

Answers

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

x-1)(x+6. Hope it helps man

Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012

Answers

Answer:

11

Step-by-step explanation:

I think if I am wrong I am sorry

Rewrite as a simplified fraction. 0.51 = ?
the one is repeating btw​

Answers

Answer:

17/33

Step-by-step explanation:

100 x = 51.51

100 x − x = 51.51 − 0.51

99 x = 51

divide both sides by 99 to get  x  as a fraction.

x=51/99

=17/33

Answer:

23/45

Step-by-step explanation:

This is directly from Khan academy itself as I got this question too.

(The red marker is the incorrect answer I put in before.)

Please help at least one please number it!!!

Answers

Answer:

34, 50

Step-by-step explanation:

An amount divide by 17: 34÷17=2

25 less than x: 50-25=25

1) 17 • y
2)10 + x
3)x:5
4) x - 25
5) b + -12
6) x - 36
7) n - 5
8) a/17

(please give me brainliest)

Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

igcwochcd chocho dhvohov dochvo

9(x-4) -7x=32-2(x+8)

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt


2^5/4 = 2^5/2^a= 2^b = c

What is

a=

b=

c=

Answers

the answer is: a=2, b=3, c=8

Consider the graph shown.


Complete the sentence based on the graph.
The value of f(x) is -2 at x =

and the value of f (-2) =

Answers

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

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

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

I need help with this one

Answers

Answer:

Yes they are similar

Step-by-step explanation:

They have the same measurements adding up to 180.

Triangle RST angles are 120, 20, and 40

Triangle JKL angles are 120, 40, 20

Those are the same numbers.

9
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB. The equation has one solution, x = 0.
OC. The equation has no solution.
OD
The equation has infinitely many solutions.
Reset
Next

Answers

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]

[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

4 p 2x + 3p 7x
Help please

Answers

Answer:

Hope this helps :O

Step-by-step explanation:

Wanna help a girl out

Answers

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

517 37/50 + 312 3/100

Answers

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

3+(-4) on a number line iready

Answers

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

Slope-Intercept Form of 3x – 4y – 16 = 0

Answers

Answer:

Y= 3/4x - 4

Step-by-step explanation:

Hey there!

The answer to your question is y = 3/4x - 4

We have to solve for y:

3x - 4y - 16 = 0

3x - 4y = 16

-4y = -3x + 16

y = 3/4x - 4

Hope it helps and have an amazing day!

The students at Job's high school

were surveyed to determine their

favorite foods. The results are shown

in the table below. Suppose students

were randomly selected and asked

what their favorite food is. Find the

probability of each event. Write as a

fraction in simplest form.


Favorite Food Responses

Pizza 19

Steak 8

Chow-mein 5

Seafood 4

Spaghetti 3

Cereal 1


16. P(steak)

17. P(Spaghetti)

18. P(cereal or seafood)

19. P(not chow-mein)

19. P(pizza)

20. P(cereal or steak)

21. P(not steak) 22. P(not cereal or seafood)

23. P(chicken) 24. P(chow mein or spaghetti)

Answers

Maybe pay attention to school and u would know

I need help with finding slopes from two points thank you

Answers

Answer:

i do believe the answer is 6/7

Find the zeros for 2x2−24=26. What is the positive value of x?

Answers

Answer:

i think it is 12

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEE NOWWWW ASAPP

Answers

( 3 , 5 ) is the answer

unit rate for $112 in 8 hours

Answers

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Which line has a slope equal to 1?

Answers

The slope of a tangent line.
Hope I helped

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

which triangles are congruent in the figure

Answers

Answer:

Step-by-step explanation:

The two triangles that are congruent are ABE and CBD by SSS.

2/3 of a yard = ______ inches

Answers

Answer:

24 inches

Step-by-step explanation:

you're welcome

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

I think yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

I actually hope this is right and that it helped!

Answer:

yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

plwase answer ALL the blanks.

Answers

Answer:

its option A

Step-by-step explanation:

Which is an equation of a direct proportion

Answers

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

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