# What is the equation of the line between (0,0) and (2,-10)?

Apr 29, 2018

The slope is -5.

#### Explanation:

To find this answer, we'll be using the point slope formula:

$\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}} = m$ , where $m$ is the slope.

$\left(0 , 0\right)$ $\left({X}_{1} , {Y}_{1}\right)$
$\left(2 , 10\right)$ $\left({X}_{2} , {Y}_{2}\right)$

Now, plug-in the variables:

$\frac{- 10 - 0}{2 - 0}$ = $m$

Subtract.

$- \frac{10}{2}$ = $m$

Simplify.

$- \frac{5}{1}$ = $m$

The slope is $- 5$.

$\left(y = - 5 x\right)$

Apr 29, 2018

$y = - 5 x$

#### Explanation:

Slope-intercept form of an equation: $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept

Let's first find the slope using the points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$: $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\frac{- 10 - 0}{2 - 0}$

$\frac{- 10}{2}$

$- 5$

Our equation is currently $y = - 5 x + b$

The y-intercept is in the format $\left(0 , b\right)$. The point $\left(0 , 0\right)$ is the y-intercept in this case.

$y = - 5 x + 0$

$y = - 5 x$