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2023-02-18

How to write the slope intercept form of the line $6x+5y=-15$?

Aleksy7860

The linear equation's slope-intercept form is:
$y=mx+b$
Where $m$ is the slope and $b$ is the y-intercept value.
For $y$, we must resolve the following equation:
$6x+5y=-15$
$6x-6x+5y=-6x-15$
$0+5y=-6x-15$
$5y=-6x-15$
$\frac{5y}{5}=\frac{-6x-15}{5}$
$\frac{\overline{)5}y}{\overline{)5}}=\frac{-6x}{5}-\frac{15}{5}$
$y=-\frac{6}{5}x-3$