Question

Find the slope of the line that passes through (26, 15) and (1, 86).

Answer 1

`\displaystyle m = (-71)/(25)`

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

• Coordinates (x, y)
• Slope Formula:
  `\displaystyle m = (y_2 - y_1)/(x_2 - x_1)`

Explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

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 = (86 - 15)/(1 - 26)`
2. Subtract:
   `\displaystyle m = (71)/(-25)`

Answer 2

-71/25

Explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

m = (86-15)/(1 -26)

= 71/-25

= -71/25