Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.1, Problem 64HP
To determine

Explain how to find the x − intercept and y − intercept of a graph and summarize how to graph a linear equation.

Expert Solution & Answer
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Answer to Problem 64HP

Explanation of Solution

Given:

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:

How to find the x and y intercepts from the graph.

Example equation: y=x−4

Graph the line y=x−4

  Algebra 1, Chapter 3.1, Problem 64HP

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

In the graph there is a point  (4  ,  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,−  4) where the line crosses the y − axis

x − Intercept = 4 and y − intercept is −4

How to graph a linear equation:

To solve a linear equation graphically, find the related function by rewriting the equation with everything on one side and the other side equal to zero. Then graph the related function. The x − intercept is the solution.

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Chapter 3.1, Problem 63HP
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Chapter 3.1, Problem 65STP

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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