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.

## Answer This Question

## Related Questions

- Algebra - A line intersects the graph of y= x^2 twice. One point has an x- ...
- Algebra - A line intersects the graph of y= x^2 twice. One point has an x- ...
- Geometry - In the standard (x,y) coordinate plane, if the x-coordinate of each ...
- Calc - Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find ...
- Calc - Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find ...
- College Math - 2008 (2nd)Course2-4.1 We are to find a function f(x) such that ...
- math - A,B are two points on a given line L.L is the midpoint of the section AB...
- calculus - 1. Which of the following expressions is the definition of the ...
- math - A,B,C are points on the line L, the coordinate of B=-2, c is a point that...
- Calculus - Line l is tangent to the graph of y= x - x²/500 at point Q & it ...

More Related Questions