What is the slope of the line segment connecting A(3,-6) and B(6,-15)?

Question

Please show all work and explain 

Answer 1

The slope of a line is its rise over run (or ^rise/_run)

We can find a slope of a line using two points by using the following formula:

m = (y₂- y₁) / (x₂ - x₁), as the y values of a line are our rise and the x values are our runs. So we put them into the formula, but remember which is our two and which is our one.

 

Point A will be our point 1 (x₁ = 3, y₁ = -6), and Point B will be our point 2 (x₂ = 6, y₂ = -15)

So we put them into our formula:

m = (-15 - (-6)) / (6 - 3)

m = (-15 + 6) / (6 - 3)

m = -9 / 3

m = -3 / 1

m = -3

 

And so the slope of this line is -3.