   Chapter 10.5, Problem 6E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section 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. y = - 2 x + 5

To determine

Draw the graph of the equation y=-2x+5.

Explanation

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

Here,

m is the slope of a line

b is y intercept of a line

Compare the given equation y=-2x+5 with y=mx+b

Now,

m=-2

b=5

Then plot the point (0, 5)

Because m=-2, the vertical change of -2 corresponds to a horizontal change of 1

Thus the second point is located 2 units down from and one unit to right of the first point (0, 5).

i.e., the line crosses at (1, 3)

To find the point of x-intercept, substitute y = 0 in y=-2x+5

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