Question

Convert the following to slop -intercept from 4x-3y=24

Answer 1

The slope intercept form of a line is:

$y=mx+c$

In this case, all we need to do is solve for y:

$\begin{gathered} 4x-3y=24 \\ \end{gathered}$

Let the y's be alone on one side of the equation:

$4x-24=3y$

Then divide both sides by 3:

$\begin{gathered} y=\frac{4x-24}{3} \\ y=\frac{4}{3}x-8 \end{gathered}$

Then the slope-intercept form of the line is y = 4/3x - 8