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Directions: Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither. 13. P(-9, -4), (-7, -1), R(-2,5), S(-6, -1) Slope of PQ Slope of RS Types of Lines​

Directions Use slope to determine if lines PQ and RS are parallel perpendicular or neither 13 P9 4 7 1 R25 S6 1 Slope of PQ Slope of RS Types of Lines class=

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Answer:

  • Parallel

Step-by-step explanation:

Given points

  • P(-9, -4), Q(-7, -1), R(-2,5), S(-6, -1)

Finding slopes of PQ and RS using slope formula

  • m = (y2 - y1)/(x2 - x1)

Slope of line PQ

  • m = (-1 - (-4))/(-7 - (-9)) = 3/2

Slope of line RS

  • m = (-1 - 5)/(-6 - (-2)) = -6 / -4 = 3/2

Slopes are same, therefore lines are parallel

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