Algebra Examples

,
Step 1
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Find the values of and using the form .
Step 2
Find the slope and y-intercept of the second equation.
Tap for more steps...
Step 2.1
Rewrite in slope-intercept form.
Tap for more steps...
Step 2.1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.1.2
Simplify the right side.
Tap for more steps...
Step 2.1.2.1
Combine and .
Step 2.1.3
Write in form.
Tap for more steps...
Step 2.1.3.1
Reorder terms.
Step 2.1.3.2
Remove parentheses.
Step 2.2
Find the values of and using the form .
Step 3
Compare the slopes of the two equations.
Step 4
Compare the two slopes in the decimal form. If the slopes are equal, then the lines are parallel. If the slopes are not equal, then the lines are not parallel.
Step 5
The equations are not parallel because the slopes of the two lines are not equal.
Not Parallel
Step 6
Enter YOUR Problem
Mathway requires javascript and a modern browser.