Show that the line passing through the points (7,5) and (-1,7) is parallel to the line y =-x+5[Parallel lines have the same gradient]

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section: Chapter Questions
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Question 7 (i)
Show that the line passing through the points (7,5) and (-1,7) is parallel to the line
y=
) = --x+5[Parallel lines have the same gradient]
Transcribed Image Text:Question 7 (i) Show that the line passing through the points (7,5) and (-1,7) is parallel to the line y= ) = --x+5[Parallel lines have the same gradient]
Expert Solution
Step 1

For solving this question we will use the concept of coordinate geometry.

First of all we have to find the slope of the line passing through two points

We know that it is:

y2-y1/x2-x1

According to the question:

Let slope =m1=7-5/-1-7=-1/4

Step 2

Now consider the second line equation: 

y=-1/4+5

comparing it with y=mx+c

slope=m2 =-1/4

 

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