# What is the slope intercept form of the line with a slope of -2  that passes through  (6,4) ?

Dec 31, 2015

$y = 16 - 2 x$

#### Explanation:

Slope $m = - 2$
co-ordinates $\left(6 , 4\right)$

Slope Intercept of the equation

$y - {y}_{1} = m \left(x - {x}_{1}\right)$
$y - 4 = - 2 \left(x - 6\right)$
$y - 4 = - 2 x + 12$
$y = - 2 x + 12 + 4$
$y = - 2 x + 16$
$y = 16 - 2 x$

Dec 31, 2015

The slope intercept form of the line is $y = m x + b$ where $m$ is the slope and $b$ is y-intercept.
The equation of the line is $y = - 2 x + 16$
One of the approaches to get the solution is given below.

#### Explanation:

Slope-intercept form of the line $y = m x + b$
Given slope $m = - 2$ and a point $\left(6 , 4\right)$ which lies on the line.

Plug in the values for $m$, $x$ and $y$ and solve for $b$

$4 = - 2 \left(6\right) + b$
$4 = - 12 + b$
$4 + 12 = b$
$16 = b$

The equation of the line is $y = - 2 x + 16$