What is the slope of the line that passes through the points left parenthesis, minus, 6, comma, 5, right parenthesis(−6,5) and left parenthesis, minus, 3, comma, 20, right parenthesis(−3,20)? Write your answer in simplest form.

Answer 1

To find the slope of the line that passes through the points \((-6, 5)\) and \((-3, 20)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (-6, 5)\) and \((x_2, y_2) = (-3, 20)\). Plugging in these values gives:

\[ m = \frac{20 - 5}{-3 - (-6)} \]

Calculating the differences in the numerator and denominator:

\[ m = \frac{15}{-3 + 6} \]

\[ m = \frac{15}{3} \]

Now, simplify:

\[ m = 5 \]

Thus, the slope of the line that passes through the points \((-6, 5)\) and \((-3, 20)\) is \(\boxed{5}\).