# What is the slope intercept form of the line passing through (1,0)  with a slope of -2 ?

Feb 4, 2016

We know the slope is $- 2$ and we can substitute in the $x$ and $y$ values of the given point to discover that the equation is $y = - 2 x + 2$.

#### Explanation:

Slope-intercept form for a line is $y = m x + b$ where $m$ is the slope and $b$ is the y-intercept.

In this case we know the slope is $- 2$, so we can substitute that in:

$y = - 2 x + b$

We are also given one point that we are told is on the line, so we can substitute in its $x$ and $y$ values:

$0 = - 2 \left(1\right) + b$

Rearranging and solving we discover:

$b = 2$

so the equation is $y = - 2 x + 2$.