# How do you find the equation of a line given that: slope is 5/6 and the y intercept is (0,-7)?

Jun 7, 2016

$y = \frac{5}{6} x - 7$

#### 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.

here m$= \frac{5}{6} \text{ and y-intercept} = - 7$

$\Rightarrow y = \frac{5}{6} x - 7 \text{ is the equation of the line}$

Jun 7, 2016

$y = \frac{5}{6} x - 7$

#### Explanation:

Consider the standard form equation of a straight line

$y = m x + c$

In this $m$ is the slope (gradient) and $c$ is the y intercept so using the given information we have:

$m = \frac{5}{6}$
${y}_{\text{intercept}} \to \left(x , y\right) = \left(0 , - 7\right) \to c = - 7$

$\textcolor{b r o w n}{y = m x + c \text{ "->" } \textcolor{b l u e}{y = \frac{5}{6} x - 7}}$