Question

What is an equation in point-slope form for the line that passes through the points (-3,5) and (2, -3)?

A) y - 3 = -(x + 5)
B) y – 5 = – (x + 3)
C) y - 5 = {(x + 3)
D) y – 3 = — ; (x + 5)

Answer 1

y - 5 = -8/7(x + 3)

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:
`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 (-3, 5)

Point (2, -3)

Step 2: Find slope m

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

1. Substitute [SF]:
   `m=(-3-5)/(2+5)`
2. Subtract/Add:
   `m=(-8)/(7)`

Step 3: Write Equation

Plug in variables into the general form.

y - 5 = -8/7(x + 3)

y + 3 = -8/7(x - 2)