Question

Write the equation of the line that passes through the points (9,8) and (6,3). Put

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

y - 3 = 5/3(x - 6)

General Formulas and Concepts:

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 (9, 8)

Point (6, 3)

Step 2: Find slope m

1. Substitute:
   `m=(3-8)/(6-9)`
2. Subtract:
   `m=(-5)/(-3)`
3. Simplify:
   `m=(5)/(3)`

Step 3: Write function

Slope m = 5/3

Point (6, 3)

1. Substitute: y - 3 = 5/3(x - 6)