Answer:
r= 4
Step-by-step explanation:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
where (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the second coordinate
[tex] \frac{3}{2} = \frac{r - ( - 5)}{10 - 4} [/tex]
[tex] \frac{3}{2} = \frac{r + 5}{6} [/tex]
Cross multiply:
2(r +5)= 3(6)
Expand:
2(r) +2(5)= 18
2r +10= 18
-10 on both sides:
2r= 18 -10
2r= 8
Divide both sides by 2:
r= 8 ÷2
r= 4
