Answer:

Or:

Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:

Thus, first, we need to find the slope. We can use the slope formula:

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

Or, fully simplified:

Using the other point, we will acquire:

Or, simplified:
