# Math

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A line intersects the graph of y=x^2 twice. One point has an x-coordinate of -4, and the other point has an x- coordinate of 2.

A. Find the equation of the line.
B. Find the measure of the angle that the line makes with the x-axis.

• Math -

when x=-4, y = 16
when x = 2, y = 4

two intersection points are (-4,16) and (2,4)
slope = (4-16)/(2+4) = -12/6 = -2

equation of line:
y = -2x + b, but (2,4) lies on it, so
4 = -4 + b
b = 8

equation of line:
y = -2x + 8

a line with a slope of -2 makes and angle of
tan^-1 (-2) or 116.565°

check: tan 116.565 = -2

• Math -

Thank you very very much, I really appreciate this.

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