Question

(r, 7), (11, 8), m = -1/5

Answer 1

The value of r is 16

Explanation:

The correct question is

Find out the value of r if the slope between the two ordered pairs is m=-1/5

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

(r, 7), (11, 8)

substitute the values

`m=(8-7)/(11-r)`

`m=(1)/(11-r)`

Remember that

`m=-(1)/(5)`

equate the equations

`(1)/(11-r)=-(1)/(5)`

solve for r

Multiply in cross

`-(11-r)=5\\r-11=5\\r=11+5\\r=16`