### Home > AC > Chapter 5 > Lesson 5.1.3 > Problem 5-30

Review what you know about graphs by answering the following questions. 5-30 HW eTool (Desmos).

Find the equation of the line graphed above.

What are its

*x*- and*y*-intercepts?On your own graph paper, graph the line.

On the same set of axes, graph a line

*parallel*to the line graphed at right, but through the*origin*(0, 0). Find the equation of this new line.

Use the *y*-intercept and the growth rate to write the equation of the line at right.

Remember that the *x*-intercept is the point on the graph where *y* = 0 and that the *y*-intercept is the point where *x* = 0.

Remember that parallel lines have the exact same growth rate.

Plug in the point given (0,0) into the basic equation *y = mx + b* and simplify to find the equation of the line.

*m* = the growth rate *b* = the *y*-intercept

Use the eTool below to help you with this problem.

Click the link at right for the full version of the eTool: AC 5-30 HW eTool