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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 Exercises 5 to 8, draw the graph of each equation by using the method of Example 3.

2 5 x + y = 6

To determine

To answer:

Draw the graph of the equation 25x+y=6.

Explanation

The general form of a line is y=mx+b

m is the slope of a line

b is y intercept of a line

Solving for y,

Subtract 25x from each side of the equation 25x+y=6

25x+y-25x=6-25x

25x and -25x on left hand side get cancelled.

Then,

y=6-25x

Rewrite the equation y=6-25x as

y=-25x+6

Here,

Compare the equation y=-25x+6 with y=mx+b

Now,

m=-25

b=6

Then plot the point (0, 6)

Because m=-25, the vertical change of -2 corresponds to a horizontal change of 5

Thus the second point is located 2 units down from and five units to right of the first point (0, 6)

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Chapter 10 Solutions

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