Question

The points (-7,3) and (-3,r) lie on a line with slope 4 . Find the missing coordinate r.

Answer 1

Answer:

r = 19

Step-by-step explanation:

calculate the slope using the slope formula and equate to 4

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 7, 3 ) and (x₂, y₂ ) = (- 3, r )

m = $\frac{r-3}{-3-(-7)}$ = $\frac{r-3}{-3+7}$ = $\frac{r-3}{4}$ , then

$\frac{r-3}{4}$ = 4 ( multiply both sides by 4 )

r - 3 = 16 ( add 3 to both sides )

r = 19