Question

Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain. a No; the lines have unequal slopes. b Yes; the lines have equal slopes. c No; one line has zero slope, the other has no slope. d Yes; the lines are both vertical.

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

The Answer would be Option A) No, the lines have unequal slopes.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

$m = \dfrac{y-q}{x-p}$

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Slope of first line,

$m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}$

Slope of second line,

$n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1$

Thus, The Answer would be Option A) No, the lines have unequal slopes.

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