# How do you write the equation below that represents the line that passes through the point (-2, -1) and has a slope of 5?

Dec 13, 2016

$y + 1 = 5 \left(x + 2\right)$ or $y = 5 x + 9$

#### Explanation:

We can use the point-slope formula to write the equation with the information given. The point-slope formula is:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Where $m$ is the slope and #(x_1, y_1) is the point given. Substituting the information we are given lets us write the equation as:

$y - - 1 = 5 \left(x - - 2\right)$

$y + 1 = 5 \left(x + 2\right)$

Solving for $y$ let's us put this into slope-intercept form:

$y + 1 = 5 x + 10$

$y + 1 - 1 = 5 x + 10 - 1$

$y + 0 = 5 x + 9$

$y = 5 x + 9$