Question

Find the slope of the line.

y
8
(10, 6)
6
4
2
(4, 1.2)
4 6 8 10 x
slope =

Answer 1

`slope = (4)/(5)`

Explanation:

slope formula:

`(y2 - y1)/(x2 - x1)`

use the two coordinates given in the graph to find the values

i) (10, 6)

x1 = 10

y1 = 6

ii) (4, 1.2)

x2 = 4

y2 = 1.2

substitute the values into the formula

`(1.2 - 6)/(4 - 10)`

`( - 4.8)/( - 6)`

`(4)/(5)`

Answer 2

`\displaystyle m=0.8`

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

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

Explanation:

Step 1: Define

Point (4, 1.2)

Point (10, 6)

Step 2: Find slope m

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

1. Substitute [SF]:
   `\displaystyle m=(6-1.2)/(10-4)`
2. Subtract:
   `\displaystyle m=(4.8)/(6)`
3. Divide:
   `\displaystyle m=0.8`