Answer:
y = 5x -10
Step-by-step explanation:
First, find the slope using the slope formula where
(x1,y1) = (4,10) and (x2,y2) = (-2,-20)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 20 - 10}{ - 2 - 4} [/tex]
[tex]m = \frac{ - 30}{ - 6} [/tex]
[tex]m = 5[/tex]
Next, use one point, it doesn't matter which one, and use the point-slope formula to write an equation.
y-y1 = m(x-x1)
y-10 = 5(x-4)
y = 5x - 20 + 10
y = 5x - 10