Answer:
[tex]r=-3[/tex]
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:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:
[tex]\displaystyle \frac{r-(-23)}{11-6}=4[/tex]
Simplify and evaluate:
[tex]\displaystyle \frac{r+23}{5}=4[/tex]
Multiply both sides by 5:
[tex]r+23=20[/tex]
Therefore:
[tex]r=-3[/tex]
