Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.2, Problem 55SR
To determine

Find the X and y intercepts from the graph of the equation y=2x+10 .

Expert Solution & Answer
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Answer to Problem 55SR

The y − Intercept is 10 and the x − Intercept is− 5.

Explanation of Solution

Given:

The equation: y=2x+10

Concept Used:

The  x -intercepts are where the graph crosses the  x -axis, and the  y -intercepts are where the graph crosses the  y -axis.

Then, algebraically,

  • an  x -intercept is a point on the graph where  y  is zero, and
  • a  y -intercept is a point on the graph where  x  is zero.

More specifically,

  • an  x -intercept is a point in the equation where the  y -value is zero, and
  • a  y -intercept is a point in the equation where the  x -value is zero.

Calculation:

Graph the equation y=2x+10

Make a table.

    Table Graph y=2x+10
    x y=2x+10 f(x) (x, f(x))
    −5 y=2·(−5)+10=0 0(−5,0)
    0 y=2  ·  0+10=10 10 (0, 10)

    The graph intersects the x- axis at −5 , and intersects y – axis is at 10.

    		Algebra 1, Chapter 3.2, Problem 55SR

Find the x − intercept, look for the point where the line crosses the x − axis.

In the graph there is a point ( −5 , 0) where the line crosses the X − axis,

Find the y − intercept, look for the point where the line crosses the y − axis.

In the graph there is a point ( 0, 10 ) where the line crosses the y − axis.

The x − Intercept is −5 and the y − Intercept is 10.

Thus, the x − Intercept is −5 and the y − Intercept is 10.

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Chapter 3 Solutions

Algebra 1

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