Question

Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.

Answer 1

`\displaystyle m = (4)/(5)`

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

Coordinate Planes

• Coordinates (x, y)

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

Explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

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

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (5 - 1)/(2 - -3)`
2. [Order of Operations] Evaluate:
   `\displaystyle m = (4)/(5)`