Question

Find the slope of the line graphed below.

Answer 1

Answer:

$\displaystyle m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

• Left to Right

Algebra I

• Reading a Cartesian plane
• Coordinates (x, y)
• Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 1)

Point (2, 2)

Step 2: Identify

x₁ = 0, y₁ = 1

x₂ = 2, y₂ = 2

Step 2: Find slope m

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

1. Substitute in points/variables [Slope Formula]:                                            $\displaystyle m=\frac{2-1}{2-0}$
2. [Slope] [Fraction] Subtract:                                                                              $\displaystyle m=\frac{1}{2}$