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91Ó°ÊÓ

What is the slope of the line shown in the graph at the right?

(A) -32 (B) -23 (C) 23 (D) 32

Short Answer

Expert verified

The slope of the given straight line is 32. So, (D) is the correct option.

Step by step solution

01

– State the concept

The slope of a straight-line passing through the points h,k and a,b is given as m=b-ka-h.

02

– List the given data

It is clear, from the given graph, that the line passes through 4,-2 and 6,1.

Then, h,k=4,-2 and a,b=6,1.

03

– Find the slope

Put h,k=4,-2and a,b=6,1in m=b-ka-hto get,

m=1−−26−4=1+22=32

So, m=32

So, the slope of the given straight line is 32.

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