   Chapter 10.5, Problem 7E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# 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

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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