Question

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

Answer 1

Answer:

m = 5

Step-by-step 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]:                                                              

$\displaystyle m = \frac{7 - 2}{6 - 4}m=6−47−2$

• [Evaluations] Simplify:                                                                                       

$\displaystyle m = \frac{5}{1}m=15$

• [Evaluations] Simplify:                                                                                      

$\displaystyle m = 5m=5$

Answer 2

Answer:

$\displaystyle m = 5$

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: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step 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]:                                                              $\displaystyle m = \frac{7 - 2}{6 - 4}$
2. [Evaluations] Simplify:                                                                                       $\displaystyle m = \frac{5}{1}$
3. [Evaluations] Simplify:                                                                                      $\displaystyle m = 5$