Question

Convert 7x + 3y = −1 to slope-intercept form.

Answer 1

Hi there!

Let's solve this problem step by step!

$7x + 3y = - 1$
To convert this formula to slope-intercept form, we must isolate y.

First bring 7x to the left by subtracting 7x from both sides of the equation.
$3y = - 7x - 1$

Finally we need to divide both sides of the equation by 3.
$\frac{3y}{3} = \frac{ - 7x - 1}{3}$

Do some simple algebra and we find:
$y = - \frac{7}{3} x - \frac{1}{3} \\ y = - 2 \frac{1}{3} x - \frac{1}{3}$
~ Hope this helps you!