Question

A line contains the points (34, 12) and (32, 48).

What is the slope of the line in simplified form?

Answer 1

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

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

For the points \((34, 12)\) and \((32, 48)\), we can assign:

- \(x_1 = 34\), \(y_1 = 12\)
- \(x_2 = 32\), \(y_2 = 48\)

Now, substitute these values into the slope formula:

\[
m = \frac{48 - 12}{32 - 34}
\]

Calculate the values in the numerator and denominator:

\[
m = \frac{36}{-2}
\]

Now, simplify the fraction:

\[
m = -18
\]

Thus, the slope of the line in simplified form is

\[
\boxed{-18}
\]