Question

On a graph the x axis is (0,-4) and the y axis is (0,12) what is the slope

Answer 1

Wrong

Answer 2

(0,-4) is the x axis not y axis

Answer 3

To find the slope between two points on a graph, you can use the formula for slope \( m \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

In this case, the two points given are:
- Point A (0, -4)
- Point B (0, 12)

Now, let's assign these points:
- \( (x_1, y_1) = (0, -4) \)
- \( (x_2, y_2) = (0, 12) \)

Now plug the coordinates into the slope formula:

\[
m = \frac{12 - (-4)}{0 - 0} = \frac{12 + 4}{0} = \frac{16}{0}
\]

Since the denominator is 0, the slope is undefined. This is because both points lie on the y-axis (x = 0), indicating a vertical line, which does not have a defined slope.

Answer 4

I apologize if my previous response wasn't clear. Let's revisit the problem:

You provided two points with their coordinates along the axes:
- The first point is \((0, -4)\) on the y-axis.
- The second point is \((0, 12)\) on the y-axis.

Both points share the same x-coordinate of 0. When both points are vertical, the slope is indeed undefined, as a vertical line does not have a finite slope.

Here's the reasoning:
- Slope is defined as the "rise" over "run."
- For the points \((0, -4)\) and \((0, 12)\), since both have an x-value of 0, the "run" (the change in x) is \(0 - 0 = 0\).
- The slope calculation, therefore, results in a division by zero:

\[
m = \frac{12 - (-4)}{0 - 0} = \frac{16}{0}
\]

Since you cannot divide by zero, the slope is indeed undefined.

If you meant to refer to different points or coordinates, please clarify, and I will correct my explanation accordingly! Thank you for your patience.

Answer 5

Thank you for the clarification! Let's interpret your original question correctly this time.

If you specify that the points represent coordinates on a Cartesian plane:
- The x-axis point is (0, -4), which means this point lies on the x-axis at \( y = -4 \).
- The y-axis point is (0, 12), meaning this point lies on the y-axis at \( x = 12 \).

However, it seems there might be some confusion here. Let’s clarify the coordinates specifically:

1. If point (0, -4) is intended to be a point on the x-axis, the x-coordinate should typically be a positive or negative value while the y-coordinate should be zero. Therefore, it appears that you are referring to a point on the Cartesian coordinate system where:
- The x-axis intersects the coordinate at \( (x, 0) \).
- The y-axis intercepts at \( (0, y) \).

2. Based on typical Cartesian coordinates:
- If the x-axis is represented as (x, 0), then the given "x-axis" point doesn’t provide enough information unless you want this to specify a set of coordinates.

Could you please confirm whether you meant the points as (4, 0) for the x-axis and (0, 12) for the y-axis or provide two distinct points that we can analyze to find the slope between them?

### Assuming you mean the following two points:
- Point A: (4, 0) (x-axis)
- Point B: (0, 12) (y-axis)

Using these two points to find the slope:

### Step 1: Identify coordinates:

- Point A: (4, 0) → \( x_1 = 4, y_1 = 0 \)
- Point B: (0, 12) → \( x_2 = 0, y_2 = 12 \)

### Step 2: Plug into the slope formula \( m \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{0 - 4} = \frac{12}{-4} = -3
\]

So, the slope between these two points would be \(-3\).

Let me know if this correctly aligns with your understanding, or please clarify further. Thank you!