Question

Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)

Answer 1

Answer:

y - 9 = 3/10(x - 8)

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

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

Point-Slope Form: y - y₁ = m(x - x₁)  

• x₁ - x coordinate
• y₁ - y coordinate
• m - slope

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (8, 9)

Step 2: Find slope m

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

1. Substitute [SF]:                    $\displaystyle m=\frac{9-6}{8+2}$
2. Subtract/Add:                      $\displaystyle m=\frac{3}{10}$

Step 3: Write Function

Plug in variables into general form.

y - 9 = 3/10(x - 8)

y - 6 = 3/10(x + 2)