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Chapter 2: Q27. (page 72)

Determine the value of r so that the line through 6,rand 9,2has slope 13.

Short Answer

Expert verified

The value of ris 1.

Step by step solution

01

Step 1- Given information

A pair of points 6,r,9,2and slope(m) is 13.

02

Step 2- Formula used

The slope formula of a line is:

m=y2-y1x2-x1

Where, m is slope of the line which is passes through the points localid="1647009885899" (x1,y1),(x2,y2)andx1鈮�x2.

03

Step 3- To find the slope 

Here, (x1,y1)=6,rand (x2,y2)=9,2

So, m=y2-y1x2-x1

鈬�13=2-r9-6鈬�13=2-r3鈬�1=2鈭�r鈬�r=1

Hence, the value of r is 1.

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