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Chapter 4: Q. 58 (page 451)

In the following exercises, for each ordered pair, decide:

鈸� Is the ordered pair a solution to the equation?

鈸� Is the point on the line?

y=13x+2鈸�(0,2)鈸�(3,3)鈸�(鈭�3,2)鈸�(鈭�6,0)

Short Answer

Expert verified

(a) The point (0,2),(3,3),(鈭�6,0)is a solution and point (鈭�3,2)is not a solution.

(b)

Step by step solution

01

Step 1. Given Information

In the given exercises, for each ordered pair, we have to decide:

鈸� Is the ordered pair a solution to the equation?

鈸� Is the point on the line?

y=13x+2鈸�(0,2)鈸�(3,3)鈸�(鈭�3,2)鈸�(鈭�6,0)

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=13x+2

03

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

鈸�(0,2)鈸�(3,3)鈸�(鈭�3,2)鈸�(-6,0)y=13x+2y=13x+2y=13x+2y=13x+22=13脳0+23=13脳3+22=13脳(鈭�3)+20=13脳(-6)+22=0+23=1+22=-1+20=-2+22=23=32鈮�10=0

Points (0,2),(3,3),(鈭�6,0)is solution and point (鈭�3,2)is not a solution.

04

Part (b) Step 1. Plot the points 

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