The slope of the line below is -3. which of the following is the point-slope form of the line

Let’s begin with a definition of point slope form! Point slope form is a way to write a function so as to guarantee a point on the graph. It can be simplified into the standard form of equations. Point slope for is as shown below.

y - y1 = m ( x - x1 )

In that, x1 and y1 are the point (x1, y1) and m is the slope. So, we can simplify that to this.

y + 6 = m ( x - 2 )

Now we have to find the slope using the slope equation and using the points (0, 0) and (2, -6). The slope equation is shown below.

m = ( y2 - y1) / (x2 - x1)

So, plug in the values

m = (-6 - 0) / (2 - 0)
m = -6 / 2
m = -3

Now we plug in m and get our final answer!

y + 6 = -3 ( x - 2 )

That is your top answer!