### Home > A2C > Chapter 5 > Lesson 5.2.3 > Problem5-95

5-95.

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 $2$.

1. Draw a sketch of both graphs, and find the equation of the line.

2. Find the measure of the angle that the line makes with the $x$-axis.

Draw a slope triangle between the two points. Find the measure of the angle that corresponds to the angle the line makes with the $x$-axis using $\tan^{−1}(?)=θ$.

$63.4° (\text{ or } 116.6°)$

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