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Chapter 4: Q. 4.19 (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�(0,鈭�1)鈸�(2,5)

Short Answer

Expert verified

(a) The point (0,-1)and(2,5)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�(0,鈭�1)鈸�(2,5)

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.   

(0,-1)(2,5)y=3x-1y=3x-1-1=3脳0-15=3脳2-1-1=0-15=6-1-1=-15=5(0,-1)isasolution.(2,5)isasolution.

04

Part (b) Step 1. Plot the points ⓐ (0,−1) ⓑ (2,5)

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Most popular questions from this chapter

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

387.slope 4and y-intercept(0,1)

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Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located:

鈸� (鈭�2,1) 鈸� (鈭�3,鈭�1) 鈸� (4,鈭�4) 鈸� (鈭�4,4)鈸� (-4,32)
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