Question

Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)

Answer 1

`-(3)/(4)`

Explanation:

To find the slope of the line, we use the equation
`(y_2-y_1)/(x_2-x_1)` when we are given the points
`(x_1,y_1)` and
`(x_2,y_2)`.

When we plug the points A(-6,10) and B(-2,7) into the equation
`(y_2-y_1)/(x_2-x_1)`, we get the equation
`(7-10)/(-2-(-6))`.

`(7-10)/(-2-(-6))\\= (-3)/(4)`

Therefore, the slope of the line is
`-(3)/(4)`.

I hope this helps!

Answer 2

`m=(-3)/(4)`

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

• Slope Formula:
  `m=(y_2-y_1)/(x_2-x_1)`

Explanation:

Step 1: Define Points

A (-6, 10)

B (-2, 7)

Step 2: Find slope m

1. Substitute:
   `m=(7-10)/(-2+6)`
2. Subtract/Add:
   `m=(-3)/(4)`

And we have our final answer!