Question

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

Answer 1

Answer:

The value of r is 16

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

we have the points

(r, 7), (11, 8)

substitute the values

$m=\frac{8-7}{11-r}$

$m=\frac{1}{11-r}$

Remember that

$m=-\frac{1}{5}$

equate the equations

$\frac{1}{11-r}=-\frac{1}{5}$

solve for r

Multiply in cross

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