# Finite Math Examples

,

Step 1

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

Step 2.1

Rewrite in slope-intercept form.

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.

Step 2.1.2.1

Combine and .

Step 2.1.3

Write in form.

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