Question

Which is the slope of the line that passes through the points (4, 2) and (6, 7)?

Answer 1

m = 5

Explanation:

Step 1: Define

Identify variables.

Point (4, 2)

Point (6, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

• Substitute in points [Slope Formula]:

`\displaystyle m = (7 - 2)/(6 - 4)m=6−47−2`

• [Evaluations] Simplify:

`\displaystyle m = (5)/(1)m=15`

• [Evaluations] Simplify:

`\displaystyle m = 5m=5`

Answer 2

`\displaystyle m = 5`

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Coordinate (x, y)

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

Explanation:

Step 1: Define

Identify variables.

Point (4, 2)

Point (6, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (7 - 2)/(6 - 4)`
2. [Evaluations] Simplify:
   `\displaystyle m = (5)/(1)`
3. [Evaluations] Simplify:
   `\displaystyle m = 5`