Question

What is the gradient of the line that passes through the points (0,0) and (5,-10)

Answer 1

Let "m" be the slope of the line passing through the point.

`m = (y_ 2 - y_1)/(x_ 2 - x_1 ) = (( - 10 - 0))/((5 - 0)) = ( - 10)/(5) = \boxed{- 2 }`

-2 is the gradient of the line that passes through the points (0,0) and (5,-10).

Answer 2

`\displaystyle m=-2`

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

Explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.

1. Substitute in points [SF]:
   `\displaystyle m=(-10-0)/(5-0)`
2. [Fraction] Subtract:
   `\displaystyle m=(-10)/(5)`
3. [Fraction] Divide:
   `\displaystyle m=-2`