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

1 Answer
Aug 29, 2017

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#