Answer:
y = -2/3 x - 7
Step-by-step explanation:
Solve for the slope first:
m = (y2 - y1) / (x2 - x1)
= [(-5) - (-3)] / [(-3) - (-6)]
= (-5 + 3) / (-3 + 6)
= -2 / 3
Use any of the ordered pairs to find the value of b: (-6, -3)
y = mx + b
-3 = (-2/3)(-6) + b
-3 = 12/3 + b
-3 = 4 + b
-3 - 4 = b
-7 = b
To find the equation of the line substitute the b value and the slope.
y = mx + b
y = -2/3 x - 7
