Question

The points (-3,9) and (-1,r) lie on line with slop -2.

Answer 1

Answer:

The value of r is 5

Step-by-step explanation:

The question is

Find out the value of r

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

(-3,9) and (-1,r)

substitute

$m=\frac{r-9}{-1+3}$

$m=\frac{r-9}{2}$

Remember that

$m=-2$

substitute the value of m

$-2=\frac{r-9}{2}$

Solve for r

Multiply by 2 both sides

$-4=r-9$

Adds 9 both sides

$-4+9=r-9+9$

$5=r$

Rewrite

$r=5$