Respuesta :

The slope intercept form is the y = mx + b
We need to solve for the slope first
remember
the slope is the change in y/ over the change in x
y2 - y1 / x2 - x1
3 - 5 / -3 --9
-2/6 this can be simplified to -1/3
That is the slope so we plug it into the equation
y = mx + b
m = slope
y = -1/3x + b
Now to solve for the y-intercept, we plug in one of the coordinates to solve for b
3 = -1/3(-3) + b
3 = 1 + b
3 = b + 1
subtract 1 from both sides
2 = b
That is the point where it intercepts the y-axis
(0,2)

Now we have our equation for the line that passes through the points, (-9,5)(-3,3). 
That equation is y = -1/3x + 2

Hope this helps :)

The slope intercept format is y = -1 / 3x + 2

The slope intercept formula is represented as follows

  • y = mx + b

where

m = slope

b = y-intercept

Therefore, let's find m using the coordinates (-9, 5)(-3, 3)

m = 3 - 5 / -3 - (- 9)  = -2 / 6 = - 1 / 3

let's find b using the coordinate(-3, 3)

3 = -1 / 3 (-3) + b

3 = 1 + b

b = 2

Finally,

y = -1 / 3x + 2

Read more : https://brainly.com/question/2953533?referrer=searchResults

Otras preguntas