Question

The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

Answer 1

Answer:

The answer to your question is r = -3

Step-by-step explanation:

Data

A (4, -11)

B (8, r)

slope = m = 2

r = ?

Process

1.- Use the slope equation to find the coordinate r.

Formula

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

Substitution

        $m = \frac{r + 11}{8 - 4}$ = 2

2.- Simplify

                $\frac{r + 11}{4} = 2$

3.- Solve for r

Multiply both sides by 4

               $\frac{4(r + 11)}{4} = 2(4)$

Simplify

                r + 11 = 8

Subtract 11 in both sides

                r + 11 - 11 = 8 - 11

Simplify

                r = -3