How to Compare Linear Functions Graphs and Equations
How to Compare Linear Functions Graphs and Equations is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Comparing Linear Function’s Graph and Equations, Example 1:
(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=frac{change in y}{change in x}: frac{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)).
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