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Chapter 4: Q. 56 (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=x鈭4鈸(0,鈭4)鈸(3,鈭1)鈸(2,2)鈸(1,鈭5)

Short Answer

Expert verified

(a) The point (0,-4),(3,-1)is a solution and points (2,2),(1,-5)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=x鈭4鈸(0,鈭4)鈸(3,鈭1)鈸(2,2)鈸(1,鈭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=x鈭4

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,鈭4)鈸(3,鈭1)鈸(2,2)鈸(1,鈭5)y=x鈭4y=x鈭4y=x鈭4y=x鈭4鈭4=0鈭4鈭1=3鈭42=2鈭4-5=1鈭4鈭4=鈭4鈭1=鈭12鈮鈭2-5鈮3

Points (0,-4),(3,-1)is solution and point(2,2),(1,-5) is not a solution.

04

Part (b) Step 1. Plot the points ⓐ (0,−4) ⓑ (3,−1) ⓒ (2,2) ⓓ (1,−5)

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Most popular questions from this chapter

In the following exercises, find three solutions to each linear equation.

5x鈭2y=10

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸 (鈭1,1)鈸 (鈭2,鈭1)鈸 (2,1)鈸 (1,鈭4)鈸(3,72)

Find the intercepts for4x-y=8

Find the intercepts forx-3y=12

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸 (3,鈭1)鈸 (鈭3,1)鈸 (鈭2,2)鈸 (鈭4,鈭3) 鈸(1,145)
See all solutions

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