Question

Write the equation -3x+2y=7 in scope-intercept form.

Answer 1

The line equation in slope intercept form, have the following form:

`y=mx+b`

Where m represents the slope, and b the y-intercept. To rewrite a line equation in standard form to slope-intercept form, we just need to "isolate" y on the left side of the equality.

We want to do that with our equation

`-3x+2y=7`

Doing this with our equation, we have

`\begin{gathered} -3x+2y=7 \\ 2y=3x+7 \\ y=(3)/(2)x+(7)/(2) \end{gathered}`

And this is our line equation in slope-intercept form.

`y=(3)/(2)x+(7)/(2)`