Question

The points (6, -23) a

Answer 1

Answer:

$r=-3$

Step-by-step explanation:

The line that passes through the two points (6, -23) and (11, r) has a slope of 4.

We want to determine the missing value of r.

We can use the slope formula:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:

$\displaystyle \frac{r-(-23)}{11-6}=4$

Simplify and evaluate:

$\displaystyle \frac{r+23}{5}=4$

Multiply both sides by 5:

$r+23=20$

Therefore:

$r=-3$