Question

• Slope is the Answer of a line.

Answer!

Answer

• Slope equals Answer divided by Answer for any two points on the line.

• The rise is the 'vertical distance between the points, and the run is the Answer distance.

We can count these distances, or we could use the Answer

Slope formula

When given 2 points on a line as the ordered pairs (x1, y1) and (x2 y2), the slope (abbreviated Answer) is equal to:

Answer Answer



M


Horizontal

Steepness

Slope formula

Rise

Y2

Y1

Run

X1


X2

Answer 1

It looks like you're looking for a complete explanation of the slope of a line, including the formula and related terms. I'll fill in the blanks accordingly:

- **Slope is the answer of a line.**
**Answer:** True, the slope represents the steepness of the line.

- **Slope equals the rise divided by the run for any two points on the line.**
**Answer:** slope.

- **The rise is the vertical distance between the points, and the run is the horizontal distance.**
**Answer:** horizontal.

We can count these distances, or we could use the **distance formula**.

When given 2 points on a line as the ordered pairs (x1, y1) and (x2, y2), the slope (abbreviated **m**) is equal to:

\[
m = \frac{y2 - y1}{x2 - x1}
\]

Where:
- **y2** and **y1** are the y-coordinates of the two points,
- **x2** and **x1** are the x-coordinates of the two points.

### Summary of Terms:
- **M:** The slope of the line.
- **Rise:** The change in the y-coordinates (vertical change, \( y2 - y1 \)).
- **Run:** The change in the x-coordinates (horizontal change, \( x2 - x1 \)).
- **Steepness:** A qualitative description of the slope, where a larger absolute value of the slope indicates a steeper line.

Use this information to calculate and understand the slope of a line based on two points!