How to Compare Linear Functions Graphs and Equations

Slope and y-intercept are used to compare the function’s graph and linear equations. This article teaches the comparison of function’s graph and linear equations.
Related Topics
- How to Write Linear Equations? (+FREE Worksheet!)
- How to Write the Standard Form of Linear Equations?
A step-by-step compare Linear Function’s Graph and Equations
The most common form of representation is a linear function with slope and y-intercept. In fact, the slope and y-intercept of the line as shown below are equal to m and b respectively.
f(x)=mx+b
The graph of a linear function in the coordinate plane is a straight line. To graph the line of an equation, all you have to do is find at least 2 points of the function and draw a straight line using these two points.
Slope and y-intercept are used to compare Linear Function graphs and Equations. For comparison, you should be able to get the slope and y-intercept both from the graph and from the equation.
To calculate the slope from the graph, you need to get the ratio of changes in y to the ratio of changes in x for two points located on the line. Then use the m=change in ychange in x formula. In fact, the slope is the ratio of vertical changes between two points to horizontal changes between the same two points on the line.
The y-intercept of a line is the point where the line intersects the y-axis. Find this point on the graph and compare it to the b value of the linear equation.
Comparing Linear Function’s Graph and Equations – Example 1:
Compare the slope of function A and function B
function A

function B
y=4x+1
Solution: First, find the slope m of function A. Find the change in y and the change in x points (−1,0) and (0,2) on the line: m=change in ychange in x:0−2−1−0=2. Now, find the slope of function B. The equation of function B in the slope-intercept form is y=4x+1. Therefore, its slope is equal to 4. In the final step, compare the slopes. The slope of function B is 4 and is greater than the slope of function A(2).
Exercises for Comparing Linear Function’s Graph and Equations
Compare the slope of function A and function B
function A

function B
y=5x+5

The slope of function B is 5 and is greater than the slope of function A(3).
Related to This Article
More math articles
- How long Is the SHSAT Test?
- FREE 7th Grade New York State Testing Program Math Practice Test
- How to Find Transformation: Rotations, Reflections, and Translations?
- Subtraction of Amounts of Money
- Top 10 Free Websites for CHSPE Math Preparation
- A Comprehensive Collection of Free SHSAT Math Practice Tests
- Top 10 ISEE Middle Level Prep Books (Our 2023 Favorite Picks)
- 7th Grade ILEARN Math Worksheets: FREE & Printable
- 3rd Grade IAR Math Worksheets: FREE & Printable
- 7th Grade OST Math Practice Test Questions
What people say about "How to Compare Linear Functions Graphs and Equations - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.