Answer:
y= 4/5x -18/5
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