### Home > CCG > Chapter 6 > Lesson 6.2.1 > Problem6-59

6-59.

On graph paper, graph the line $y=3x+1$.

1. What is this line’s slope angle? That is, what is the acute angle the line makes with the $x\text{-axis}$?

Draw a slope triangle and use the tangent ratio.

2. Find the equation of a new line that has a slope angle of $45º$ and passes through the point $(0,3)$. Assume that the slope is positive.

$y=x+3$

3. Find the intersection of these two lines using any method. Write your solution as a point in the form $(x,y)$.

How can you use the equations of the lines to solve for the point of intersection?