Question

Change into slope intercept form 3x + 4y = 12

Answer 1

The General Form of a line is:

`Ax+By=C`

The slope intercept form is:

`y=mx+b`

The equation given in general form is:

`3x+4y=12`

Let's isolate y on the left hand side and re-arrange the equation in slope-intercept form:

`\begin{gathered} 3x+4y=12 \\ 4y=-3x+12 \\ y=(-3x+12)/(4) \\ y=(-3x)/(4)+(12)/(4) \\ y=-(3)/(4)x+(12)/(4) \\ y=-(3)/(4)x+3 \end{gathered}`

The final answer:

`y=-(3)/(4)x+3`