# How do you write y+5=-6(x+7) in slope intercept form?

Jun 3, 2017

$y = - 6 x - 47$

#### Explanation:

Slope intercept is written in the form of:

$y = m x + c$

$m$ is the gradient of the line.
$c$ is the y-intercept.

You can convert the given equation to the slope intercept form by simplifying the equation and grouping the like terms. Steps are as follow:

$y + 5 = - 6 \left(x + 7\right)$

• Expand the bracket by multiplying $- 6$ with the inner components of the bracket.

$y + 5 = - 6 x - 42$

• Subtract both sides by $5$ to get '$y$' on its on.

$y = - 6 x - 47$

and there you have it. The equation has now been converted to slope incercept form ($y = m x + c$).