Question

What is the slope of this line? 4,6 2,3

Answer 1

To find the slope of the line passing through the points \((4, 6)\) and \((2, 3)\), we can use the formula for the slope \(m\):

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

Assign the points:
- \((x_1, y_1) = (4, 6)\)
- \((x_2, y_2) = (2, 3)\)

Now substitute the values into the formula:

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

Thus, the slope of the line is \(\frac{3}{2}\).