Hi there!
Let's solve this problem step by step!
[tex]7x + 3y = - 1[/tex]
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.
[tex]3y = - 7x - 1[/tex]
Finally we need to divide both sides of the equation by 3.
[tex] \frac{3y}{3} = \frac{ - 7x - 1}{3} [/tex]
Do some simple algebra and we find:
[tex]y = - \frac{7}{3} x - \frac{1}{3} \\ y = - 2 \frac{1}{3} x - \frac{1}{3} [/tex]
~ Hope this helps you!