# How do you write an equation in slope intercept form given that the line passes through the point J(4, 1) with slope –4?

May 10, 2018

$y = - 4 x + 17$

#### Explanation:

Given;
The line passes through the point J-=(4,1)
$m = - 4$
intercept is given by
$c = b - m a$
where the line passes through (a,b)
a=4,b=1
$c = 1 - \left(- 4\right) \times 4$
$c = 1 + 16$
$c = 17$

Thus,
y=mx+c

$y = - 4 x + 17$

May 10, 2018

$y = - 4 x + 17$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{here } m = - 4$

$\Rightarrow y = - 4 x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute "(4,1)" into the partial equation}$

$1 = - 16 + b \Rightarrow b = 1 + 16 = 17$

$\Rightarrow y = - 4 x + 17 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$