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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In the form, y = m x + b , find the equation of the line that

a) contains the points 0 ,   4 and 2 ,   6 .

b) contains 0 ,   - 3 and is parallel to the line y = 3 4 x - 5 .

To determine

(a)

To answer:

Find the equation of the line which contains (0, 4) and (2, 6) in the form of y=mx+b.

Explanation

The general equation of a line in Point-Slope form is y-y1=m(x-x1)

Here,

m is the slope of a line

(x1,y1) is the point.

To use Point-Slope form, it is required to find the slope using the equation,

m=y-y1x-x1

From the given points,

Let x1=0

y1=4

x=2

To determine

(b)

To answer:

Find the equation of the line contains (0, -3) and is parallel to the line y=34x-5 in the form of y=mx+b.

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