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
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(r, 7), (11, 8)
substitute the values
[tex]m=\frac{8-7}{11-r}[/tex]
[tex]m=\frac{1}{11-r}[/tex]
Remember that
[tex]m=-\frac{1}{5}[/tex]
equate the equations
[tex]\frac{1}{11-r}=-\frac{1}{5}[/tex]
solve for r
Multiply in cross
[tex]-(11-r)=5\\r-11=5\\r=11+5\\r=16[/tex]
