Question

What is the slope of the line graphed on the coordinate plane?

A graph with a line running through coordinates (-2, 3) and coordinates (2, 6)

Answer 1

To find the slope of the line that passes through the points (-2, 3) and (2, 6), we can use the slope formula:

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

Here, we can designate the points as follows:
- Point 1 \((x_1, y_1) = (-2, 3)\)
- Point 2 \((x_2, y_2) = (2, 6)\)

Now we can plug in the coordinates into the formula:

\[
m = \frac{6 - 3}{2 - (-2)}
\]
\[
m = \frac{3}{2 + 2}
\]
\[
m = \frac{3}{4}
\]

Thus, the slope of the line is \(\frac{3}{4}\).