Question

Find the value of r so that the slope between the points is 4. (6, -2) and (r, -6)
a. -5
b. 5
c. -42
d. 4

Answer 1

Please help!!! I am doing some extra credit homework. I really need to get this correct!!! Thank you.

Answer 2

Hello @CMFink00 and Welcome to OpenStudy! :)

\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]when given points (x1, y1) and (x2, y2)

so you can get
\[\frac{ -6 + (-2) }{ r - 6 } = 4\]do you know how to solve for r from there? :)

Answer 3

Um... You, add the top and and you get (-8) then you put -8 as R??? I am confused sorry! I am not good at this...

Answer 4

that's ok ^_^
the -8 is correct
but we're not finished there
-8
--- = 4
r
multiply r on both sides to get r out of the denominator

so -8 = 4r then divide both sides by 4 to get r alone

Answer 5

oh okay

Answer 6

-8/4 = -2? and 4/4 =0 so,
-2=r?

Answer 7

oh wait! sorry! I forgot that it was a (r - 6) in the denominator >,<

so -8
------- = 4 multiply both sides by (r - 6)
(r - 6)
and get
-8 = 4(r - 6) distribute
-8 = 4r - 24 sorry about that, now can you solve for r from there?

Answer 8

divide -8, 4r, and 24 by 4 right?

so -8/4= -2
4r/4=r
24/4=6
right?

Answer 9

-2=r-6?

Answer 10

yes :)
then add 6 to both sides ^_^

Answer 11

okay so -2+6=4
and
-6+6=0
so
r=4?
Am I correct?

Answer 12

yes! that's what I got :)

Answer 13

Okay thank you so much!!!

Answer 14

you're welcome :)