Question

If a line has a slope of -3 and goes throughthe point (-4,10), then the equation for theline in slope-intercept form is what?

Answer 1

Explanation

The line has a slope of -3

It passes the point (-4,10)

The slope-intercept form is defined by:

To find the equation in slope-intercept form

we have our values as:

$\begin{gathered} m=-3 \\ x=-4 \\ y=10 \end{gathered}$

We will first have to get the intercept b

$\begin{gathered} 10=-3(-4)+b \\ \\ b=10-12=-2 \\ \\ b=-2 \end{gathered}$

Therefore, the equation will be

$y=-3x-2$