Which of the following equations match the given t-chart? y -9 -1 7 X -2 0 2 O y = 4x-1 Oy= 4x+1 O y = 3x - 1 O y=-3x+1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:**

Which of the following equations match the given t-chart?

|  x  |  y  |
|----|----|
| -2 | -9 |
|  0 | -1 |
|  2 |  7 |

- ○ \( y = 4x - 1 \)
- ○ \( y = 4x + 1 \)
- ○ \( y = 3x - 1 \)
- ○ \( y = -3x + 1 \)

**Explanation of the T-Chart:**

The t-chart displays pairs of x and y values. The objective is to find the equation where the values of x and y satisfy the linear equation listed in the options. Each equation needs to be tested against the given pairs:

1. Substitute \( x \) into each equation to calculate \( y \).
2. Confirm if the calculated \( y \) matches the given \( y \) in the chart.

**Example:**

- For \( x = -2 \), calculate \( y \) using each equation.
- Compare the results with \( y = -9 \), and repeat similar steps for other pairs.

Choose the equation that satisfies all the given pairs.
Transcribed Image Text:**Question:** Which of the following equations match the given t-chart? | x | y | |----|----| | -2 | -9 | | 0 | -1 | | 2 | 7 | - ○ \( y = 4x - 1 \) - ○ \( y = 4x + 1 \) - ○ \( y = 3x - 1 \) - ○ \( y = -3x + 1 \) **Explanation of the T-Chart:** The t-chart displays pairs of x and y values. The objective is to find the equation where the values of x and y satisfy the linear equation listed in the options. Each equation needs to be tested against the given pairs: 1. Substitute \( x \) into each equation to calculate \( y \). 2. Confirm if the calculated \( y \) matches the given \( y \) in the chart. **Example:** - For \( x = -2 \), calculate \( y \) using each equation. - Compare the results with \( y = -9 \), and repeat similar steps for other pairs. Choose the equation that satisfies all the given pairs.
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