Answer: y = 3x + 2
Slope = 3, y intercept = 2
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Work Shown:
Find the slope of the line through (x1,y1) = (-2,-4) and (x2,y2) = (1,5)
m = (y2 - y1)/(x2 - x1)
m = (5 - (-4))/(1 - (-2))
m = (5 + 4)/(1 + 2)
m = 9/3
m = 3 is the slope
Plug m = 3 and (x1,y1) = (-2,-4) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-4) = 3(x - (-2))
y + 4 = 3(x + 2)
y + 4 = 3*x + 3*2 ... distribute
y + 4 = 3x + 6
y + 4 - 4 = 3x + 6 - 4 ... subtracting 4 from both sides
y = 3x + 2 is the slope intercept equation