Chapter 4: Q. 4.20 (page 436)

Use the graph of $y = 3 x - 1$ to decide whether each ordered pair is:
• a solution to the equation.
• on the line.
$ⓐ (3, - 1) ⓑ (- 1, - 4)$

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

Step 1. Given information

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

• a solution to the equation.

• on the line.

$ⓐ (3, - 1) ⓑ (- 1, - 4)$

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 is $y = 3 x - 1$

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

$(3, - 1) (- 1, - 4) y = 3 x - 1 y = 3 x - 1 - 1 = 3 \times 3 - 1 - 4 = 3 \times - 1 - 1 - 1 = 9 - 1 - 4 = - 3 - 1 - 1 = 8 - 4 = - 4 (3, - 1) is not a solution . (- 1, - 4) is a solution .$

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

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Use the graph of $y = 3 x - 1$ to decide whether each ordered pair is:
• a solution to the equation.
• on the line.
$ⓐ (3, - 1) ⓑ (- 1, - 4)$

Short Answer

Step by step solution

Step 1. Given information

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.

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

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

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Use the graph of y=3x−1to decide whether each ordered pair is:• a solution to the equation.• on the line.ⓐ(3,−1)ⓑ(−1,−4)

Short Answer

Step by step solution

Step 1. Given information

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.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Use the graph of $y = 3 x - 1$ to decide whether each ordered pair is:
• a solution to the equation.
• on the line.
$ⓐ (3, - 1) ⓑ (- 1, - 4)$