# How do you find the slope and intercept of 7x-4y=4?

Jul 30, 2018

$\text{slope "=7/4," y-intercept } = - 1$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+c

$\text{where m is the slope and c the y-intercept}$

$\text{Rearrange "7x-4y=4" into this form}$

$\text{subtract "7x" from both sides}$

$- 4 y = - 7 x + 4$

$\text{divide all terms by } - 4$

$y = \frac{7}{4} x - 1 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=7/4" and y-intercept } = - 1$

Jul 30, 2018

Slope: $\frac{7}{4}$
$y$-intercept: $- 1$

#### Explanation:

We can easily put this into slope-intercept form

$y = m x + b$, with slope $m$ and a $y$-intercept of $b$.

We essentially want just a $y$ on the left. Let's subtract $7 x$ from both sides to get

$- 4 y = - 7 x + 4$

Next, divide both sides by $- 4$ to get

$y = \frac{7}{4} x - 1$

Now, our equation is in slope-intercept form, with a slope of $\frac{7}{4}$ and a $y$-intercept of $- 1$.

Hope this helps!