SOLUTION: 1) Line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1). Find the slope of l. a) 7/2 b)3 c)2/7 d)Undefined 2)Line l goes through the point (5

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Question 102657: 1) Line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1). Find the slope of l.
a) 7/2 b)3 c)2/7 d)Undefined

2)Line l goes through the point (5,-2) and is parpendicular to the line through (-2,1) and (-4,-2). Find the slope of l.
a) -2/3 b)-3/2 c)7/3 d)0

Any help anyone can provide with the above would great. I am trying to understand how to solves these. Thank you so much.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
1)
First find the slope through (4,3) and (-3,1)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (4, 3) and (-3, 1)
















Answer: Slope is




Since the slope of the two lines are parallel, the slope of the unknown line through (1,3) is . So the answer is C




2)

First find the slope through (-2,1) and (-4,-2)


Solved by pluggable solver: Finding the slope


Slope of the line through the points (-2, 1) and (-4, -2)






















Answer: Slope is





Now to find the perpendicular slope, simply find the negative reciprocal of . To find the reciprocal, simply flip the fraction to get . Now negate to get .


So the perpendicular slope is which means the answer is A
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