Linear Equation Graph

Introduction

The general equation is: Y = ax + b
- Y: Dependent Variable
- a: Slop
- x: Independent Varialbe
- b: Y-intercept
Has a straight line graph
Use the x-axis for the independent variable x
Use the y-axis for the dependent variable y

Example: The monthly income of a salesmen is calculated from the equation: y = 0.03x + 5000

Where x is the monthly sales, in dollars, and y is the monthly income, in dollars.
Draw an accurate graph of this equation for x=0 to x= 20,000. use the horizontal axis for x and the vertical axis for y.

The following illustration depicts the y-intercept:

y-intercept

Slope

The slope is defined as follows:

Is a measure of the direction of the line

Positive slope = moving up line
Negative slope = heading down line
A slope of 0 (zero) = flat horizontal line

Slope Formula : a = (y₂ − y₁) / (x₂ − x₁) = ∆y / ∆x
(x₁,y₁) and (x₂,y₂) are only two points located on the line
The slope measures the change in the dependent variable y for every change in the independent variable x

For more details, please contact me here.
Date of last modification: March 19, 2019