Question

Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2

Answer 1

Answer:

$y-6=\frac{3}{2} (x+6)$

Step-by-step explanation:

Hi there!

We are given a point (-6, 6) and a slope of $\frac{3}{2}$

We want to write the equation of the line that contains this point and slope in point-slope form

Point-slope form is written as $y-y_1=m(x-x_1)$, where m is the slope and $(x_1, y_1)$ is a point

As we are already given everything we need, we can simply substitute the values into the formula

Starting with the slope, substitute 3/2 as m into the equation:

$y-y_1=\frac{3}{2} (x-x_1)$

Now substitute -6 as $x_1$ and 6 as $y_1$

$y-6=\frac{3}{2} (x--6)$

Simplify:

$y-6=\frac{3}{2} (x+6)$

Hope this helps!