/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 131 The figure shows the graph of tw... [FREE SOLUTION] | 91影视

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Chapter 1: Q. 131 (page 44)

The figure shows the graph of two parallel lines. Which of the following pairs of equations might have such a graph?

(a)x-2y=3x+2y=7(b)x+y=2x+y=-1(c)x-y=-2x-y=1(d)x-y=-22x-2y=-4(e)x+2y=2x+2y=-1

Short Answer

Expert verified

Equation(c)x-y=-2x-y=1might have such graph

Step by step solution

01

Given information 

We are given a graph and set of equations

02

Explanation for correct options

In the graph both the lines are parallel and hence will have equal slopes

Consider the equations

(c)x-y=-2x-y=1

On further simplifying the equation we get

y=x+2y=x-1

Both the equation has same slope might have such graph

03

Explanation for other explanations

Consider the equations

(a)x-2y=3x+2y=7(b)x+y=2x+y=-1(d)x-y=-22x-2y=-4(e)x+2y=2x+2y=-1

On simplifying the equation we get

(a)y=x2-32y=-12x+72(b)y=-x+2y=-x-1(d)y=x+2y=x+2(e)y=-12x+1y=-12x+1

Option a) both the lines have different slopes hence the lines cannot be parallel

option d) both the lines are identical hence cannot describe the given figure

Option b) and option e) are not consistent with the given graph.

04

Conclusion

Equation(c)x-y=-2x-y=1might have such graph.

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