How to Compare Linear Functions Graphs and Equations

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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