# How do you express the following equation in slope-intercept form: 7x - 5y = 10?

Apr 7, 2015
• The Slope Intercept Form of the equation of a given line is:

$y = m x + c$
where $m$ is the Slope of that line, and $c$ is the Y intercept

• To get it in the Slope Intercept form, we first transpose $7 x$ to the Right hand Side
We get $- 5 y = - 7 x + 10$

To have just $y$ on the Left Hand Side, we divide both sides by $- 5$

$\frac{\cancel{- 5} y}{\cancel{- 5}} = \frac{- 7 x}{-} 5 + \frac{10}{-} 5$

color(green)(y = (7/5)*x - 2 is the Slope Intercept form of 7x−5y=10

• The Slope is $\frac{7}{5}$ and the Y intercept is $- 2$

• The graph will look like this:

graph{y=(7x/5)-2 [-10, 10, -5, 5]}