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0 votes

Is the line through points P (0,5) and Q (-1,8) parallel to the line through points R (3,3) and S(5,-1)?

Choices are: a.) No, the lines have unequal slopes.

b.) Yes, the lines are both vertical.

c.) Yes, the lines have equal slopes.

d.) No, one line has slope, the other has no slope.

asked Nov 12, 2013 in ALGEBRA 1 by mathgirl Apprentice
reshown Nov 12, 2013 by moderator

2 Answers

0 votes

Slope of the first line passing through (0,5) and (-1,8) say m1 = y2-y1/x2-x1

(x1, y1) = (0,5)

(x2,y2) = (-1, 8)

m1 = 8-5/-1-0

m1 = 3/-1

m1 = -1/3

Slope of the second line through (3,3) and (5,-1) say m2 = y2-y1/x2-x1

m2 = -1-3/5-3

m2 = -4/2

m2 = -2

The lines have unequal slopes.

Option a is correct answer.

answered Nov 12, 2013 by william Mentor
0 votes

Given that two points are

image

Slope of a line containing two points is

image

image

image

m = -13

Given that two points are

image

Slope of a line containing two points is

image

image

image

m = -2

Therefore the slopes are not equal so the lines are not parallel to each other (option a).

answered Nov 12, 2013 by jouis Apprentice

Observe the given coordinates of first line P (0,5) and Q (-1 , 8).

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