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 56SR
To determine

Find the X and y intercepts from the graph of the equation 3y=6x−9 .

Expert Solution & Answer
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Answer to Problem 56SR

The y − Intercept is − 3 and the x − Intercept is 32 .

Explanation of Solution

Given:

The equation: 3y=6x−9

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 3y=6x−9

Rewrite the equation y as subject.

  3y=6x−93y3  =  6x3  −  93  [  Divide  each  term  by  3  ]y=2x−3

Make a table.

    Table Graph y=2x−3
    x y=2x−3 f(x) (x, f(x))
    1 y=2  ·  1−3=−1 −1 (1,  −1)
    0 y=2  ·  0−3=−3 −3 (0,  −3)

    The graph intersects the x- axis at 32 , and intersects y – axis is at −3 .

    		Algebra 1, Chapter 3.2, Problem 56SR

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

In the graph there is a point ( 32 , 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, −3 ) where the line crosses the y − axis.

The x − Intercept is 32 and the y − Intercept is −3 .

Thus, the x − Intercept is 32 and the y − Intercept is −3 .

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Chapter 3 Solutions

Algebra 1

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