Posted by **Anonymous** on Monday, January 23, 2012 at 10:15pm.

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 -
**Reiny**, Monday, January 23, 2012 at 10:51pm
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 -
**Algebra88**, Monday, January 23, 2012 at 11:35pm
Thank you very very much, I really appreciate this.

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