Question

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

Answer 1

Answer:

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

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

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

Step-by-step explanation:

Step 1: Define

Point (-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]:                    $m=\frac{-3-5}{2+5}$
2. Subtract/Add:                      $m=\frac{-8}{7}$

Step 3: Write Equation

Plug in variables into the general form.

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

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