Question

Vocabulary Term

Answer

Definition

The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.

Answer

The horizontal distance between two points on a line.

It equals the difference between the x-coordinates of the two points.

Answer

A measure of how steep a line is. The slope equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope.

Answer

A ratio comparing the amount of one measurement to one unit of another measurement.

unit rate

equivalent ratios

run

Erise

slope

slope formula

Answers

Answered by GPT-4o mini
Here is the vocabulary term along with its corresponding answer and definition for clarity:

1. **Rise**
- **Answer**: The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.

2. **Run**
- **Answer**: The horizontal distance between two points on a line. It equals the difference between the x-coordinates of the two points.

3. **Slope**
- **Answer**: A measure of how steep a line is. The slope equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope.

4. **Unit Rate**
- **Answer**: A ratio comparing the amount of one measurement to one unit of another measurement.

5. **Equivalent Ratios**
- **Answer**: Ratios that express the same relationship between two quantities, even though the numbers may be different.

6. **Slope Formula**
- **Answer**: The formula used to calculate the slope of a line, often written as \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( m \) is the slope, \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of two points on the line.

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