Answered

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17. P(-6, 16), Q(2, -4), R(-6, 14), S(-2, 4)Slope of PQ Slope of RSTypes of Lines

Sagot :

The formula for finding slope is expressed as

slope = (y2 - y1)/(x2 - x1)

where

y2 and y1 are final and initial values of the y coordinates respectively

x2 and x1 are final and initial values of the x coordinates respectively

Considering line PQ,

x1 = - 6, y1 = 16

x2 = 2, y2 = - 4

Slope = (- 4 - 16)/(2 - - 6) = - 20/8

Slope = - 2.5

Considering line RS,

x1 = - 6, y1 = 14

x2 = - 2, y2 = 4

Slope = (4 - 14)/(- 2 - - 6) = - 10/4

Slope = - 2.5

If the slope of two lines are equal, it means that they are parallel. We can see that the slopes of PQ and RS are equal. Thus,

Line PQ is parallel to line RS

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