Question

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

Answer 1

y = -(1/2)x+2

Explanation:

Answer 2

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

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

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

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate

• y₁ - y coordinate

• m - slope

Explanation:

Step 1: Define

Point (-2, 3)

Point (6, -1)

Step 2: Find slope m

1. Substitute:
   `m=(-1-3)/(6+2)`
2. Subtract/Add:
   `m=(-4)/(8)`
3. Simplify:
   `m=(-1)/(2)`

Step 3: Write linear equation

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