Question

What is the correct set up to finding the slope of a line that passes through the points (6, −3) and (−2, 7)
?(1 point)

Answer 1

To find the slope of a line that passes through two points, you can use the slope formula:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

In your case, the points are \((6, -3)\) and \((-2, 7)\). You can designate the points as follows:

- \((x_1, y_1) = (6, -3)\)
- \((x_2, y_2) = (-2, 7)\)

Now, substitute the values into the slope formula:

\[
m = \frac{7 - (-3)}{-2 - 6}
\]

This simplifies to:

\[
m = \frac{7 + 3}{-2 - 6} = \frac{10}{-8} = -\frac{5}{4}
\]

So, the slope of the line that passes through the points \((6, -3)\) and \((-2, 7)\) is \(-\frac{5}{4}\).