Question

hw to find the slope of a line simple

Answer 1

i dont understand all the rest of the symbles

Answer 2

To find the slope of a line, you can use the formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.

### Steps to Find the Slope:

1. **Identify Two Points on the Line**: For example, let's use the points \((x_1, y_1)\) and \((x_2, y_2)\).

2. **Subtract the y-coordinates**: Calculate \(y_2 - y_1\).

3. **Subtract the x-coordinates**: Calculate \(x_2 - x_1\).

4. **Divide the Differences**: Divide the result from step 2 by the result from step 3 to find the slope \(m\).

### Example:

Let’s find the slope of the line that passes through the points \((1, 2)\) and \((3, 4)\):

1. Identify the points: \((x_1, y_1) = (1, 2)\) and \((x_2, y_2) = (3, 4)\).

2. Calculate \(y_2 - y_1\):
\[
4 - 2 = 2
\]

3. Calculate \(x_2 - x_1\):
\[
3 - 1 = 2
\]

4. Divide the differences:
\[
m = \frac{2}{2} = 1
\]

So, the slope of the line is \(1\).

Answer 3

No problem! Let's simplify it by explaining the concepts without heavy symbols.

### What is the Slope?

The slope of a line measures how steep it is. It tells you how much the line rises (goes up) or falls (goes down) as you move from left to right.

### Steps to Find the Slope:

1. **Pick Two Points on the Line**: You need two points. For example, let's say we have two points:
- Point A: (1, 2)
- Point B: (3, 4)

Here, the first number in each point is the "x" value (how far left or right), and the second number is the "y" value (how far up or down).

2. **Find the Difference in Y (Up and Down)**:
- Take the y-value of point B (which is 4) and subtract the y-value of point A (which is 2):

4 - 2 = 2

This tells you how much you go up or down when moving from point A to point B. In this case, you go up by 2.

3. **Find the Difference in X (Left and Right)**:
- Take the x-value of point B (which is 3) and subtract the x-value of point A (which is 1):

3 - 1 = 2

This tells you how much you go left or right when moving from point A to point B. In this case, you go right by 2.

4. **Calculate the Slope**:
- Now, divide the difference in Y by the difference in X:

2 (how much you went up) ÷ 2 (how much you went right) = 1

### Conclusion:

The slope is 1. This means that for every 1 unit you go to the right, the line goes up 1 unit.

### Visualize It:

If you draw a graph with these points, you’ll see that the line rises at a 45-degree angle, indicating a slope of 1.

If you have any specific part of this that you’d like me to clarify, just let me know!