# How do you find the slope and y intercept of 3x-7y=20?

May 31, 2018

$\text{slope "=3/7," y-intercept } = - \frac{20}{7}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "3x-7y=20" into this form}$

$\text{subtract "3x" from both sides}$

$- 7 y = - 3 x + 20$

$\text{divide all terms by } - 7$

$y = \frac{3}{7} x - \frac{20}{7} \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=3/7" and y-intercept } = - \frac{20}{7}$

May 31, 2018

Slope=$\frac{3}{7}$

$y$-intercept: $- \frac{20}{7}$

#### Explanation:

To find the slope and $y$-intercept, we need to change this equation into slope-intercept form

$y = m x + b$

where $m$ is the slope and $b$ is the $y$-intercept.

We can start by subtracting $3 x$ from both sides to get

$- 7 y = - 3 x + 20$

Lastly, we divide all terms by $- 7$ to get

$y = \frac{3}{7} x - \frac{20}{7}$

Our $m$ in this case is $\frac{3}{7}$. This is the slope.

Our $b$ in this case is $- \frac{20}{7}$. This is our $y$-intercept.

Hope this helps!