Rewrite 2x + 3y = 9 in slope-intercept form and then graph the line.

Question

anonymous · Answer

slope intercept form is:
$$y=mx+b$$
The problem is currently in standard form:
$$Ax+By=C$$
First, you must find the slope:
$$m=\frac{ -A }{ B}$$
For example:

3x - 4y = 12
$$m=\frac{ -3 }{ 4 } = \frac{ 3 }{ 4 }$$
Subtract -3x from both sides, leaving -4y by itself:

3x - 4y = 12
      -4y = 12 - 3x

Divide -4 on all sides:
$$y=-3+\frac{ 3 }{ 4 }x$$

anonymous · Answer

* Forgot to put a negative symbol for B, so this is wrong:
$$m=\frac{ -3 }{ 4 }=\frac{ 3 }{ 4 }$$
It's supposed to be:
$$m=\frac{ -3 }{ -4 }=\frac{ 3 }{ 4 }$$
Sorry for any confusions (:

anonymous · Answer

so is it still the same answer the y=-3+3/4

anonymous · Answer

Yes it is.