# How do you find the equation of the line that passes through point (0, -8) with a slope of 7/10?

Jul 21, 2016

$y = \frac{7}{10} x - 8$

#### Explanation:

This is the easiest question we can get to find the equation of the line! The point we are given $\left(0 , - 8\right)$ is the y-intercept (c). The clue for this is that the x-value is 0, which means the point lies on the y-axis.

$c = - 8 , \mathmr{and} m = \frac{7}{10}$

So, we have $c$, we have the slope $m$ and we can just substitute the numbers into $y = m x + c$

$y = \frac{7}{10} x - 8$

Jul 21, 2016

$y = \frac{7}{10} x - 8$

#### 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 b = -8 and $m = \frac{7}{10}$

substitute these values into the equation.

$\Rightarrow y = \frac{7}{10} x - 8 \text{ is the equation}$