Answer:
The equation of the line is y = -3x - 7
Step-by-step explanation:
To find the equation of the line, we first need the slope. We can get that by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (8 - 2)/(-5 - -3)
m = (8 - 2)/(-5 + 3)
m = 6/-2
m = -3
Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y - 2 = -3(x + 3)
y - 2 = -3x - 9
y = -3x - 7