Question

Try another one. Line n goes through points A and B. What is the slope of line n? Solve on paper, then enter your answer on Zearn.
Point A : (5, 4) Point B : (15, 12)

The slope of line n is
.

Answer 1

To find the slope of line \( n \) that goes through points \( A(5, 4) \) and \( B(15, 12) \), we can use the formula for the slope \( m \):

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

Here, \( (x_1, y_1) = A(5, 4) \) and \( (x_2, y_2) = B(15, 12) \).

Substituting these values into the formula:

\[
m = \frac{12 - 4}{15 - 5}
\]

Calculating the differences in the numerator and the denominator, we get:

\[
m = \frac{8}{10}
\]

To simplify \( \frac{8}{10} \):

\[
m = \frac{4}{5}
\]

Thus, the slope of line \( n \) is

\[
\frac{4}{5}
\]

So the answer is \( \frac{4}{5} \).