Question

The points (4,-5) and (10,r) are on a line with slope 3/2. What is the value of r?

Answer 1

r= 4

Explanation:

`\boxed{ slope = (y _(1) - y_2 )/(x_1 - x_2) }`

where (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the second coordinate

`(3)/(2) = (r - ( - 5))/(10 - 4)`

`(3)/(2) = (r + 5)/(6)`

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