Functions & Graphs - Free Printable

Educational worksheet: Functions & Graphs. Download and print for classroom or home learning activities.

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- First, look closely: Looking at Graph C, the line crosses the y-axis at y = -3, so the y-intercept c = -3. To find the slope, I can pick two points on the line. It passes through (0, -3) and (3, -1). The rise is 2 (from y=-3 to y=-1) and the run is 3 (from x=0 to x=3). So, the slope m = rise/run = 2/3. Therefore, the equation for Graph C should be y = (2/3)x - 3.

- Then, review the findings: I have now determined the equations for all three graphs by analyzing their slopes and y-intercepts.
- Graph A: y = (1/2)x + 3
- Graph B: y = (5/2)x - 3
- Graph C: y = (2/3)x - 3

These equations match three of the options provided in the image.

A: y = 1/2x + 3
B: y = 5/2x - 3
C: y = 2/3x - 3

Parent Tip: Review the logic above to help your child master the concept of matching equations and graphs worksheet answers.

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