### Home > CCA2 > Chapter 1 > Lesson 1.1.4 > Problem 1-46

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.

3*x* − 5 = −4*x* + 9

7*x* − 5 = 9

7*x* = 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)