Question

What is the slope of the equation y+6=1/3(x-4)
A.-1/3
B.1/3
C.4
D.6

Answer 1

What I would do is try to get the equation into the worldwide known form of y=mx+b ; where m is our slope. Do you know how to do this for this question?

Answer 2

y+6=1/3(x-4)
First step; Distribute the "1/3" to the (x-4)
y+6=1/3x-4/3

Answer 3

Then, subtract 6 from both sides.
y+6-6 = 1/3x-4/3-6
y=1/3x-11/15

Answer 4

Now the equation is in proper y=mx+b form.
\[y=\frac{ 1 }{ 3 }x - \frac{ 11 }{ 15 }\]