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A line is drawn through the points (-2, 6) and (-4, -12). What is the y-coordinate of the point where this line intersects the y-axis?

 Dec 22, 2021
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(-2, 6) (-y, -12)

x, y,      x2   y2

L: y - y, = m (x - x,)

m = (y- y1)x- x1 = (-12 - 6)/-4-(-2) = -18/-2 = 9

L: y - 6 = 9 (x - -2)

L: y - 6 = 9x + 18

L: y = 9x + 24

 

x = 0

y = 9(0)+24

y = 24

 Dec 23, 2021

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