Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3.1, Problem 24PPS
To determine

Graph the equation by using x and y − intercept.

Expert Solution & Answer
Check Mark

Answer to Problem 24PPS

x and y intercepts are x= − 1.667 and y = 5

Explanation of Solution

Given:

The equation: 5−y=−3x

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:

The equation: 5−y=−3x

Find the x − intercept, plug in y = 0 in the equation.

  5−y=−3x5−0=−3x    [  plug  in  y  =0  ]5=−3x  [ Subtract  2x  from  both  sides ]5−3  =  −3x−3   [  Divide  each  side  by  −2  ]x=−53  =   −   1.667x=−1.667 x − Intercept: x= − 1.667

Find the y − intercept, plug in x = 0 in the equation

  5−y=−3x5−y=−3  ·  0  [  plug  in  x  =0  ]5−y=05−5−y=−5  [ Subtract  5  from  both  sides ]−y=−5−y−1  =  −5−1   [  Divide  each  side  by  −1  ]y=5 y − Intercept: y = 5

Graph the line 5−y=−3x with x and y intercepts points are (− 1.667, 0) and (0, 5)

  Algebra 1, Chapter 3.1, Problem 24PPS

Thus, x and y intercepts are x = − 1.667 and y = 5

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Chapter 3 Solutions

Algebra 1

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