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.

Question

Point A : (5, 6) Point B : (15, 12)

The slope of line n is
.

Answer 1

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

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

Here, we have:

• \( A (x_1, y_1) = (5, 6) \)
• \( B (x_2, y_2) = (15, 12) \)

Substituting the coordinates of points A and B into the slope formula:

\[ m = \frac{12 - 6}{15 - 5} \]

Calculating the differences in the numerator and denominator:

\[ m = \frac{6}{10} \]

We can simplify \( \frac{6}{10} \):

\[ m = \frac{3}{5} \]

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

\[ \frac{3}{5} \]

So, you would enter \( \frac{3}{5} \) as your answer.