Question

What is the slope of the line that passes through (2,-3) (4,6)

a
6

b
9/2

c
-6

Answer 1

To find the slope of the line that passes through the points \((2, -3)\) and \((4, 6)\), you can use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (2, -3)\) and \((x_2, y_2) = (4, 6)\).

Substituting the values into the formula gives:

\[
m = \frac{6 - (-3)}{4 - 2} = \frac{6 + 3}{4 - 2} = \frac{9}{2}
\]

So the slope of the line is \(\frac{9}{2}\).

The correct answer is:

**b. \(\frac{9}{2}\)**