# How do you find the slope and intercept of 7y=x-10?

Jul 5, 2016

slope $= \frac{1}{7} , \text{y-intercept} = - \frac{10}{7}$

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

The advantage to having the line in this form is that m and b may be extracted 'easily'.

The equation 7y = x - 10 is almost in that form. Dividing both sides by 7 will complete the equation in slope-intercept form.

$\Rightarrow \frac{{\cancel{7}}^{1} y}{\cancel{7}} ^ 1 = \frac{1}{7} x - \frac{10}{7} \Rightarrow y = \frac{1}{7} x - \frac{10}{7}$

$\Rightarrow \text{ slope" =1/7" and y-intercept} = - \frac{10}{7}$