How do you find the slope and intercept to graph 7x - 2y = 10?

Apr 7, 2018

Put it in slope-intercept form.

$y = \frac{7}{2} x - 5$

$y$-intercept $= - 5$

slope $= \frac{7}{2}$

Explanation:

Put the equation into slope-intercept form by moving the $- 2 y$ on the right side of the equation.

$7 x = 2 y + 10$

Then move the $10$ to the left side

$7 x - 10 = 2 y$

Now divide all values by $2$.

$\frac{7}{2} - \frac{10}{2} = \left(2 \frac{y}{2}\right)$

to get

$\frac{7}{2} x - 5 = y$