Math / Geometry

Question10. What graph best represents a line with an undefined slope? H.
G J.

Studdy Solution

STEP 1

What is this asking? Which of these graphs shows a line where the slope isn't a number? Watch out! An undefined slope isn't zero; it's when we can't calculate the slope at all!

STEP 2

1. Understand Slope
2. Analyze the Graphs

STEP 3

Alright, let's define slope!
Slope is how steep a line is, right?
It's the rise over run, or how much the y-value changes for every change in the x-value.
We can write that as: $\text{Slope} = \frac{\text{Change in }y}{\text{Change in }x}$

STEP 4

Now, what makes a slope undefined?
It happens when the change in $\text{x}$ is zero.
Think about it: dividing by zero is a mathematical no-no!

STEP 5

Let's look at Graph F, the vertical line.
Pick any two points on this line.
Notice that the $\text{x}$ -value stays the same!
So, the change in $\text{x}$ is $\textbf{0}$ .
This gives us an undefined slope!

STEP 6

Now, Graph G is a horizontal line.
The $\text{y}$ -value stays the same, but the $\text{x}$ -value changes.
So, the change in $\text{y}$ is zero, giving us a slope of: $\frac{0}{\text{Change in }x} = 0$ The slope is $\textbf{0}$ , not undefined!

STEP 7

Graphs H and J are slanted lines.
Both the $\text{x}$ and $\text{y}$ values change, so we get a defined, numerical slope for each.

STEP 8

The graph that best represents a line with an undefined slope is Graph F.

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Question10. What graph best represents a line with an undefined slope? H.
G J.

Studdy Solution

STEP 1

What is this asking? Which of these graphs shows a line where the slope isn't a number? Watch out! An undefined slope isn't zero; it's when we can't calculate the slope at all!

STEP 2

1. Understand Slope
2. Analyze the Graphs

STEP 3

Alright, let's define slope!
Slope is how steep a line is, right?
It's the rise over run, or how much the y-value changes for every change in the x-value.
We can write that as: $\text{Slope} = \frac{\text{Change in }y}{\text{Change in }x}$

STEP 4

Now, what makes a slope undefined?
It happens when the change in $\text{x}$ is zero.
Think about it: dividing by zero is a mathematical no-no!

STEP 5

Let's look at Graph F, the vertical line.
Pick any two points on this line.
Notice that the $\text{x}$ -value stays the same!
So, the change in $\text{x}$ is $\textbf{0}$ .
This gives us an undefined slope!

STEP 6

Now, Graph G is a horizontal line.
The $\text{y}$ -value stays the same, but the $\text{x}$ -value changes.
So, the change in $\text{y}$ is zero, giving us a slope of: $\frac{0}{\text{Change in }x} = 0$ The slope is $\textbf{0}$ , not undefined!

STEP 7

Graphs H and J are slanted lines.
Both the $\text{x}$ and $\text{y}$ values change, so we get a defined, numerical slope for each.

STEP 8

The graph that best represents a line with an undefined slope is Graph F.

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Question10. What graph best represents a line with an undefined slope? H.G J.

Studdy Solution

STEP 1

What is this asking? Which of these graphs shows a line where the slope isn't a number? Watch out! An undefined slope isn't zero; it's when we *can't* calculate the slope at all!

STEP 2

1. Understand Slope2. Analyze the Graphs

STEP 3

STEP 4

Now, what makes a slope **undefined**?It happens when the **change in** x\text{x}x is **zero**.Think about it: dividing by zero is a mathematical no-no!

STEP 5

Let's look at **Graph F**, the vertical line.Pick any two points on this line.Notice that the x\text{x}x-value *stays the same*!So, the **change in** x\text{x}x is 0\textbf{0}0.This gives us an undefined slope!

STEP 6

Now, **Graph G** is a horizontal line.The y\text{y}y-value stays the same, but the x\text{x}x-value changes.So, the **change in** y\text{y}y is zero, giving us a slope of: 0Change in x=0 \frac{0}{\text{Change in }x} = 0 Change in x0​=0 The slope is 0\textbf{0}0, not undefined!

STEP 7

**Graphs H and J** are slanted lines.Both the x\text{x}x and y\text{y}y values change, so we get a defined, numerical slope for each.

STEP 8

The graph that best represents a line with an undefined slope is **Graph F**.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question10. What graph best represents a line with an undefined slope? H.
G J.

What is this asking? Which of these graphs shows a line where the slope isn't a number? Watch out! An undefined slope isn't zero; it's when we can't calculate the slope at all!

1. Understand Slope
2. Analyze the Graphs

Now, what makes a slope undefined?
It happens when the change in $\text{x}$ is zero.
Think about it: dividing by zero is a mathematical no-no!

Let's look at Graph F, the vertical line.
Pick any two points on this line.
Notice that the $\text{x}$ -value stays the same!
So, the change in $\text{x}$ is $\textbf{0}$ .
This gives us an undefined slope!

Now, Graph G is a horizontal line.
The $\text{y}$ -value stays the same, but the $\text{x}$ -value changes.
So, the change in $\text{y}$ is zero, giving us a slope of: $\frac{0}{\text{Change in }x} = 0$ The slope is $\textbf{0}$ , not undefined!

Graphs H and J are slanted lines.
Both the $\text{x}$ and $\text{y}$ values change, so we get a defined, numerical slope for each.

The graph that best represents a line with an undefined slope is Graph F.