Question

How to get slope from standard form.

Answer 1

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

$3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x$

$5y = - 3x + 15$

Now solve for y by dividing each term by 5.

$\frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5}$

Now simplify.

$y = \frac{ - 3}{5} x + 3$

The slope is

$- \frac{3}{5}$