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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 21 and 22, find the intersection of the graphs of the two equations by graphing.

y = x + 3

y = 4 x

To determine

To find:

The point of intersection of the two lines y=x+3 and y=4x using graph.

Explanation

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

The graph of y=x+3 is a line with y-intercept b=3 and slope m=1.

The graph of y=4x is a line with y-intercept b=0 and slope m=4.

To draw a graph,

Substitute x=0 in the given equation y=x+3,

y=0+3

y=3

Thus the first point is 0, 3.

Substitute y=0 in the given equation y=x+3,

0=x+3

On simplifying,

x=-3

Thus the second point is -3, 0.

The line y=x+3 contains the point 0, 3 and -3, 0.

Substitute x=0 in the given equation y=4x,

y=0

Thus the first point is 0, 0

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