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Chapter 2: Q28. (page 72)

Determine the value of r so that the line through 5,r and 2,3has slope2.

Short Answer

Expert verified

The value of r is 9.

Step by step solution

01

Step 1- Given information

A pair of points 5,r,2,3and slope(m) is 2.

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 (x1,y1),(x2,y2)andx1鈮�x2.

03

Step 3- To find the slope 

Here, (x1,y1)=5,rand (x2,y2)=2,3

So, m=y2-y1x2-x1

鈬�2=3-r2-5鈬�2=3-r-3鈬�鈭�6=3-r鈬�r=3+6鈬�r=9

Hence, the value of r is 9.

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