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Chapter 1: Q. 129 (page 44)

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

Short Answer

Expert verified

The equation which describes the given line is

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

Step by step solution

01

Given information

We are given graph and several equations

02

Explanation for correct options

Consider the option

b)-2x+3y=6y=23x+2

and

c)3x-4y=-124y=3x+12y=34x+3

also

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

Similarly

g)y=2x+3

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

03

Consider the equations

(a)2x+3y=6y=-23+2(d)x-y=1y=x-1(f)y=3x-5(h)y=-3x+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

04

Conclusion

The equations that can have the given graph as

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

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