### Home > GC > Chapter 6 > Lesson 6.2.1 > Problem 6-47

6-47.

On graph paper, graph the line .

What is this line’s slope angle? That is, what is the acute angle the line makes with the

?Draw a slope triangle and use the tangent ratio.

Find the equation of a new line that has a slope angle of

and passes through the point . Assume that the slope is positive. Find the intersection of these two lines using any method. Write your solution as a point in the form

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

Use the eTool below to help you with this problem.

Click the link at right for the full version of the eTool: *GC 6-47 HW eTool* (Desmos)