Question

Write the equation in point slope form for a line that passes through the points (-2,3) and (6,-1)

Answer 1

Answer:

y = -(1/2)x+2

Step-by-step explanation:

Answer 2

Answer:

y - 3 = -1/2(x + 2)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

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

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, 3)

Point (6, -1)

Step 2: Find slope m

1. Substitute:                    $m=\frac{-1-3}{6+2}$
2. Subtract/Add:               $m=\frac{-4}{8}$
3. Simplify:                        $m=\frac{-1}{2}$

Step 3: Write linear equation

Point-Slope Form:   y - 3 = -1/2(x + 2)