Answer:
y = 17/6 x - 40/3
Step-by-step explanation:
Slope-intercept form: y = mx + b
First, let's find the slope:
slope formula: (y2-y1) divded by (x2-x1)
(4, -2) and (8, -9)
(-9 - 8) divded by (-2 - 4) = 17/6
We found m, now we have to find b.
The new equation: y = 17/6 x + b
Insert any of the two points, in this case, I'll insert (4, -2)
-2 = 17/6 (4) + b
-2 = 68/6 + b
b = -2 - 68/6
b = -40/3
Overall equation: y = 17/6 x - 40/3
