Question

question
what is the equation of the line that passes through the point (-1,4) and has a slope of -5?

Explanation:

Step1: Use point - slope form

The point - slope form is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1=-1$, $y_1 = 4$, and $m=-5$.
$y - 4=-5(x-(-1))$

Step2: Simplify the equation

$y - 4=-5(x + 1)$
$y-4=-5x-5$
$y=-5x-5 + 4$
$y=-5x-1$

Answer:

$y=-5x - 1$