Question

Find the slope of the line that passes through the pair of points.
(11, 7), (−6, 2)

Answer 1

Slope is 5/17.

Explanation:

Subtract the y's and put on top of a fraction. Subtract the x's and put on the bottom of the fraction. Simplify. Be sure to start with the x and y that go together in front of the minus sign and end with the other x and y behind the minus sign.

7 - 2 put 5 on top.

11 - -6 is 17 (because 11 - -6 is the same as 11+6)

So you get 5/17 and it cannot be simplified so it is your answer.

Answer 2

• 5/17

Explanation:

Use the slope formula:

• m = (y₂ - y₁)/(x₂ - x₁)

We have two points:

• (x₁, y₁) = (11, 7) and (x₂, y₂) = (- 6, 2)

Substitute the coordinates into the slope formula:

• m = (2 - 7)/(-6 - 11) = - 5 / - 17 = 5/17