Answer:
y = -4/9x + 44/9
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/( -7-2)
= 4/-9
= -4/9
The slope intercept form is
y = mx+b
y = -4/9 x+b
Substitute a point into the equation
4 = -4/9 * 2 +b
4 = -8/9+b
36/9 = -8/9 +b
Add 8/9 to each side
36/9 + 8/9 = -8/9 + 8/9 +b
44/9 = b
y = -4/9x + 44/9
