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, Problem 4MCQ
To determine

Graph the equation y=3x−6 .

Expert Solution & Answer
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Answer to Problem 4MCQ

x -intercept is (2,0) , and y -intercept is (0,−6)

Explanation of Solution

Given:

The equation: y=3x−6

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: y=3x−6

We can graph the equation by using x and y − intercept method. First we find the x and y intercept from the equation and then plot the points on the grid and join then to complete the graph.

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

  y=3x−60=3x−6  [Plug  in  y=0]6=3x−6+66=3x63=3x32=x⇒x=2 x − Intercept: x= 2

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

  y=3x−6y=3⋅0−6   [Plug  in  x=0]y=0 −6y=−6 y − Intercept: y = -6

Graph the line y=3x−6 with x and y intercepts points are (2, 0) and (0, -6)

  Algebra 1, Chapter 3, Problem 4MCQ

Thus, x and y intercepts are x = 2 and y = -6

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Chapter 3, Problem 3MCQ
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Chapter 3, Problem 5MCQ

Chapter 3 Solutions

Algebra 1

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