Question

Write a equation that represents the line.

Answer 1

Answer:

y= 4/5x -18/5

Step-by-step explanation:

First step is to find the slope using the points

(-3,-6) and (2,-2)

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

    = ( -2- -6)/(2 - -3)

    = (-2+6)/(2+3)

    = 4/5

The using the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = 4/5 x + b

Substitute a point into the equation

-2 = 4/5(2)+b

-2 = 8/5 +b

Subtract 8/5 from each side

-2 -8/5 =b

-10/5 -8/5 =b

-18/5 = n

y= 4/5x -18/5