### Home > INT3 > Chapter 3 > Lesson 3.2.3 > Problem3-105

3-105.

A line intersects the graph of $y=x^2$ twice. One intersection point has an $x$‑coordinate of $-4$, and the other point has an $x$‑coordinate of $2$. 3-105 HW eTool (Desmos). Homework Help ✎

1. Sketch both graphs and write the equation of the line.

2. What is the measure of the acute 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 $\tan^{−1}(?)=θ$.

$63.4°$ (or $116.6°$)

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