Chapter 3: Q7. (page 201)

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.
The slope of the line $y = 5$ is 5.

Short Answer

Expert verified

False. The slope of the line $y = 5$ is 0.

Step by step solution

Step 1. State the equation of a straight line.

The standard form of a straight line is given by, $y = m x + c$ , where, m is the slope of the line and c is the y-intercept. If the value of m is zero. Then, the line is parallel to the x-axis.

Step 2. Find the slope and y-intercept.

Compare the given equation with the standard form of the equation of a straight line. The values are,

$m = 0$ and $c = 5$ .

It means the line is parallel to the x-axis crossing y-axis at 5.

Step 3. Conclusion.

It is false because a slope of 5 would be very steep, and $y = 5$ is a horizontal line and y is the dependent variable, it’s the vertical position of the point when an equation is graphed and m is the slope, it describes the steepness of the line. So, the slope of the line $y = 5$ is 0.

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State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.
The slope of the line $y = 5$ is 5.

Short Answer

Step by step solution

Step 1. State the equation of a straight line.

Step 2. Find the slope and y-intercept.

Step 3. Conclusion.

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State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.The slope of the liney=5 is 5.

Short Answer

Step by step solution

Step 1. State the equation of a straight line.

Step 2. Find the slope and y-intercept.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.
The slope of the line $y = 5$ is 5.