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 xcoordinate 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 xaxis.

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 = (416)/(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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