Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Which of the following equations might have the graph shown? (More than one answer is possible.)
$(a) 2 x + 3 y = 6 (b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (d) x - y = 1 (e) x - y = - 1 (f) y = 3 x - 5 (g) y = 2 x + 3 (h) y = - 3 x + 3$

The equation which describes the given line is

$(b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (e) x - y = - 1 (g) y = 2 x + 3$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

We are given graph and several equations

Step 2: Explanation for correct options

Consider the option

$b) - 2 x + 3 y = 6 y = \frac{2}{3} x + 2$

and

$c) 3 x - 4 y = - 12 4 y = 3 x + 12 y = \frac{3}{4} x + 3$

also

$e) x - y = - 1 y = x + 1$

Similarly

$g) y = 2 x + 3$

Each and every equation has positive y-intercept similarly from the graph we can say that the line has positive y-intercept

Step 3: Consider the equations

$(a) 2 x + 3 y = 6 y = - \frac{2}{3} + 2 (d) x - y = 1 y = x - 1 (f) y = 3 x - 5 (h) y = - 3 x + 3$

In the equation a) and h) the slopes are negative where as in option d) and f) the y-intercept is negative hence this does not match the given graph of lines

Step 4: Conclusion

The equations that can have the given graph as

$(b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (e) x - y = - 1 (g) y = 2 x + 3$

Find Study Materials for

Create Study Materials

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Which of the following equations might have the graph shown? (More than one answer is possible.)
$(a) 2 x + 3 y = 6 (b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (d) x - y = 1 (e) x - y = - 1 (f) y = 3 x - 5 (g) y = 2 x + 3 (h) y = - 3 x + 3$

Step by Step Solution

Step 1: Given information

Step 2: Explanation for correct options

Step 3: Consider the equations

Step 4: Conclusion

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Which of the following equations might have the graph shown? (More than one answer is possible.)(a) 2x + 3y = 6 (b) -2x + 3y = 6 (c) 3x - 4y = -12 (d) x - y = 1 (e) x - y = -1 (f) y = 3x - 5 (g) y = 2x + 3 (h) y = -3x + 3

Step by Step Solution

Step 1: Given information

Step 2: Explanation for correct options

Step 3: Consider the equations

Step 4: Conclusion

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Which of the following equations might have the graph shown? (More than one answer is possible.)
$(a) 2 x + 3 y = 6 (b) - 2 x + 3 y = 6 (c) 3 x - 4 y = - 12 (d) x - y = 1 (e) x - y = - 1 (f) y = 3 x - 5 (g) y = 2 x + 3 (h) y = - 3 x + 3$