   Chapter 10.5, Problem 29E 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 27 to 32, use graphing to find the point of intersection of the two lines. Use Example 8 as a guide. 2 x + y = 6 and 3 x - y = 19 .

To determine

Find the point of intersection of the two lines 2x+y=6 and 3x-y=19 using graphs.

Explanation

The slope m and the y intercept b of a line y=mx+b are used to graph the given equations.

Rearrange 2x+y=6 into y=mx+b as follows,

Move 2x to the right side of the equation.

So,

y=-2x+6

The graph of y=-2x+6 is a line with y-intercept b=6 and slope m=-2

Rearrange 3x-y=19 into y=mx+b as follows,

Move 3x to the right side of the equation

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