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1-46.

Use any method to find the point of intersection of and . 1-46 HW eTool (Desmos). Homework Help ✎

Method 1: Graphing

Use the blank graph in the eTool below to find the point of intersection.
Click the link at right for the full version of the eTool: CCA2 1-46 HW eTool

Method 2: Make a table.

Make a table for each function and compare values. Then check your answer in both equations.

point of intersection = (2, 1)

Method 3: Solve the system of equations algebraically.

3x − 5 = −4x + 9
7x − 5 = 9
7x = 14
x = 2

Set equations equal to each other and solve for x.

f(2) = 3(2) − 5
f(2) = 6 − 5
f(2) = 1

Calculate f(2) or g(2) to find the corresponding y-coordinate.

(2, 1)