Graphing Linear Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem. Graphing Linear Equations

Understand how to use the slope-intercept form can help you to become an expert at graphing linear equations. Also, just by looking at the line, you’ll be able to write an equation in slope-intercept form and then manipulate the equation to present it in whichever form your teacher has instructed.

The slope-intercept form is y = mx + b. The b-value is the y-intercept – the point where the line touches the y-axis and where x = 0. From this point on the line, you can use the m-value to write other points on the line. The m-value, the coefficient to the x-value, is the slope. After using rise over run to draw in several other points, connect the dots, and you have a line.

The reverse of this is write an equation of the line in slope-intercept by using a couple points on the line. To determine the b-value, look to see where the line touches the y-axis. This is the b-value. Next, select another point on the line and by drawing in a triangle, figure out the rise over the run which is the slope, the m-value. Remember if the line slopes down, the m-value is negative and if it slopes up, it is positive. If there the line is horizontal, the equation is y = c, and if the line is vertical, the equation is x = c.

To learn more about graphing linear equations, watch this video.

Write equations of the line.

CCSS.MATH.CONTENT.HSG.GPE.B.5

Go to Video Lesson
Exercises in this Practice Problem
Describe how to solve linear equations by graphing.
Does MAC2 have time enough to copy all the data?
Examine if C.H.E.E.S.E. 1 succeeds at getting $8~oz$ of cheese for Dr. Evil.
Determine the linear equation.
Identify the different parts of the graph and the equation.
Decide which equation belongs to which graph.