Question

2x+3y=18 rewrite the slope intercept form

Answer 1

We are given the function,
`2x+3y=18`, and asked to put it into slope-intercept form. Slope-intercept form is
`y=mx+b`, where m is the slope of the line and b is the y-intercept.

In order to get the given equation in slope-intercept form, all we have to do is a little algebra.

`2x+3y=18`, subtract 2x from both sides

`\Longrightarrow 3y=18-2x`, divide each side by the value 3

`\Longrightarrow y=(18-2x)/(3)`

`\Longrightarrow y=(18)/(3)-(2x)/(3)`

`\Longrightarrow y=6-(2)/(3)x`, rearranging the terms we get,

`\Longrightarrow y=-(2)/(3)x+6\ \therefore \ Sol.`