Compare linear equations, graphs, and tables
key notes:
The slope formula is m = change in y / change in x
The slope-intercept form of a linear function is y = mx + b
where m is the slope and b is the y-intercept.
Learn with an example
Function A and Function B are linear functions.
Which statement is true?
- The slope of Function A is greater than the slope of Function B.
- The slope of Function A is less than the slope of Function B.
Find the slope of Function A.
The graph of a linear function is a line. Find the change in y and the change in x between any two points on the line.
The change in y is 2, and the change in x is 2.
The slope is:
m = change in y / change in x
m = 2/2
m = 1
Find the slope of Function B.
The equation is in slope-intercept form, y=2x+4.
So, the slope is 2.
Compare the slopes.
The slope of Function A is 1. The slope of Function B is 2.
So, the slope of Function A is less than the slope of Function B.
Function A and Function B are linear functions.
Which statement is true?
- The slope of Function A is greater than the slope of Function B.
- The slope of Function A is less than the slope of Function B.
Find the slope of Function A.
The equation is in slope-intercept form, y=x–5.
Since y=x–5 is the same as y=1x–5, the slope is 1.
Find the slope of Function B.
The graph of a linear function is a line. Find the change in y and the change in x between any two points on the line.
The change in y is 4, and the change in x is 1.
The slope is:
m = change in y / change in x
m = 4/1
m = 4
Compare the slopes.
The slope of Function A is 1. The slope of Function B is 4.
So, the slope of Function A is less than the slope of Function B.
Let’s Practice!
