Question

7x-3y=-2

Answer 1

I'm assuming this is wanting the answer in y=mx+b form.

So you need to solve for y, which simply means to get y by itself. So the goal is y = ?
if you move 7x to the right side of the equal sign you get: \[-3y=-2-7x\]
We still need to keep trying to get y by itself, since y is being multiplied by -3 we will divide all terms by -3 to get: \[ \frac{ -3y }{ -3 } = \frac{ -2 }{ -3} - \frac{ 7x }{ -3}\]
so by simplifying:
\[y=\frac{ 2 }{ 3 }-\frac{ 7x }{ -3}\]
using simple algebra you can find that \[-\frac{ 7x }{ -3} = \frac{ -7 }{ -3 } x \]
the dividing a negative by a negative makes a positive so the problem becomes:
\[y = \frac{ 2 }{ 3 } + \frac{ 7 }{ 3 }x\]
but the answer needs to be in the form: y = mx+b so we simply move the \[\frac{ 2 }{ 3 }\] to the back and you have: \[y = \frac{ 7 }{ 3}x + \frac{ 2 }{ 3}\]

where
m(slope) =\[\frac{ 7 }{ 3}\]
and b(where it crosses the y-axis) =\[\frac{ 2 }{ 3}\]