# How do you find the slope and intercept of 5y-4x+10=0?

Apr 29, 2018

$\text{slope "=4/5," y-intercept } = - 2$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "5y-4x+10=0" into this form}$

$\text{add 4x and subtract 10 from both sides}$

$\Rightarrow 5 y = 4 x - 10$

$\text{divide all terms by 5}$

$\Rightarrow y = \frac{4}{5} x - 2 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=4/5" and y-intercept } = - 2$

Apr 29, 2018

See below:

#### Explanation:

The equation of the line is

$5 y - 4 x = - 10$

$5 y = 4 x - 10$

So

$y = \frac{4 x}{5} - \frac{10}{5}$

$y = \frac{4}{5} x - 2$

This is in the form of

$y = m x + c$

where;

• $y$-intercept $\left(c\right) = - 2$
• slope $\left(m\right) = \frac{4}{5}$