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

6-47.

On graph paper, graph the line .

*6-59 HW eTool*(Desmos). Homework Help ✎

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?

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