Question

How do you find the value of r such the points (5,r), (2, -3) with slope m=4/3?

Answer 1

r=1

Explanation:

You find the difference between 2 and 5: 3
Then multiply `4/3 * 3`
Which is 4.
So then you add 4 to -3 and that makes r=1

Using an equation: `y_2-y_1=m(x_2-x_1)`
Substitute
`r-(-3)=4/3(5-2)`
`r+3=4/3(5-2)`
Subtract 3 from both sides to isolate r.
`r=4/3(5-2)-3`
Distribute
`r=20/3-8/3-3`
Combine like terms
`r=12/3-3`
`r=4-3`
`r=1`