# How do you write the slope intercept form of the equation of the line through the given point (-1,-1) with the given slope 4?

##### 1 Answer
Mar 30, 2015

$y = 4 x + 3$

#### Explanation:

The standard slope intercept form of any line is

$y = m x + b$

In this case $m = 4$,

hence equation would be

$y = 4 x + b$.

Since this line passes through $\left(- 1 , - 1\right)$,
Plug in $x = - 1$ and $y = - 1$
This would give

$- 1 = - 4 + b .$

Add $4$ on both sides and get

$b = 3$

The required equation would be

$y = 4 x + 3$.