Posted by Anonymous on .
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,
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,
Thank you very very much, I really appreciate this.