Respuesta :

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

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the points

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

substitute

[tex]m=\frac{r-9}{-1+3}[/tex]

[tex]m=\frac{r-9}{2}[/tex]

Remember that

[tex]m=-2[/tex]

substitute the value of m

[tex]-2=\frac{r-9}{2}[/tex]

Solve for r

Multiply by 2 both sides

[tex]-4=r-9[/tex]

Adds 9 both sides

[tex]-4+9=r-9+9[/tex]

[tex]5=r[/tex]

Rewrite

[tex]r=5[/tex]

ACCESS MORE
EDU ACCESS