22

 PAGE: 251 SET: Exercises PROBLEM: 22

The equations are and

The line equation in slope-intercept form is .

where  is the slope and  is the -intercept.

Find the slope.

Here, the slope is .

Write the second equation in slope-intercept form.

(Original equation)

(Subtract from each side)

(Apply additive inverse property : )

Find the slope.

.

Here, the slope is .

Slope of the first equation is .

Slope of the second equation is .

If two lines are parallel, their slopes must be equal. (Or)

If two lines are said to be perpendicular,the product of their slopes is equal to .

Here in this case the two slopes are equal, hence they are parallel.

The lines are parallel.

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