# Which equation represents the line whose slope is -2 and that passes through point (0, 3)?

Jan 3, 2017

Use the point-slope formula to solve this problem. See the full explanation below:

#### Explanation:

Because we are five the slope of the line and a point on the line we can use the point slope formula to complete this problem:

The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

Where $\textcolor{b l u e}{m}$ is the slope and $\textcolor{red}{\left(\left({x}_{1} , {y}_{1}\right)\right)}$ is a point the line passes through.

Substituting the slope and the point we were provided gives this equation to solve the problem:

$\left(y - \textcolor{red}{3}\right) = \textcolor{b l u e}{- 2} \left(x - \textcolor{red}{0}\right)$

$y - \textcolor{red}{3} = \textcolor{b l u e}{- 2} x$

If we want to put this formula in the more familiar slope-intercept form we can solve for $0$ as follows:

$y - \textcolor{red}{3} + 3 = \textcolor{b l u e}{- 2} x + 3$

$y - 0 = - 2 x + 3$

$y = - 2 x + 3$