Calculate Slope Between Points (0,4) and (-5,6): Coordinate-Based Problem

What is the slope of a straight line that passed through the points $(0,4),(-5,6)$?

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information about the points.
• Step 2: Use the slope formula to find the slope.
• Step 3: Calculate and simplify.

Now, let's compute the slope:

Step 1: The points given are $(0, 4)$ and $(-5, 6)$.

Step 2: Apply the slope formula:

The slope $m$ is given by:

Substitute the known values:

Step 3: Simplify the expression:

Thus, the slope of the line passing through the points $(0, 4)$ and $(-5, 6)$ is $-\frac{2}{5}$.

Therefore, the solution to the problem is $-\frac{2}{5}$.