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Chapter 4: Q. 4.20 (page 436)

Use the graph of y=3x鈭�1to decide whether each ordered pair is:

鈥� a solution to the equation.

鈥� on the line.

鈸�(3,鈭�1)鈸�(鈭�1,鈭�4)

Short Answer

Expert verified

(a) The point(3,-1)is not a solution and the point(-1,-4)is a solution.

(b)

Step by step solution

01

Step 1. Given information 

Use the graph of y=3x鈭�1to decide whether each ordered pair is:

鈥� a solution to the equation.

鈥� on the line.

鈸�(3,鈭�1)鈸�(鈭�1,鈭�4)

02

Part (a) Step 1. Substitute the x- and y- values into the equation to check if the ordered pair is a solution to the equation.

The given equation isy=3x-1

03

Part (a) Step 2. The first number of the coordinate pair is the x-coordinate, and the second number is the y-coordinate.  

(3,-1)(-1,-4)y=3x-1y=3x-1-1=3脳3-1-4=3脳-1-1-1=9-1-4=-3-1-1=8-4=-4(3,-1)isnotasolution.(-1,-4)isasolution.

04

Part (b) Step 1. Plot the points ⓐ (3,−1) ⓑ (−1,−4)

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