Question

Question 7
Find the slope of the line through the pair of points (19, -2) & (-11, 10)
1 2
2/5

Answer 1

To find the slope of the line through the points \((19, -2)\) and \((-11, 10)\), you can use the slope formula:

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

Where:
- \((x_1, y_1) = (19, -2)\)
- \((x_2, y_2) = (-11, 10)\)

Now substitute the values into the formula:

\[
m = \frac{10 - (-2)}{-11 - 19}
\]

This simplifies to:

\[
m = \frac{10 + 2}{-11 - 19} = \frac{12}{-30}
\]

Now simplify the fraction:

\[
m = \frac{12}{-30} = \frac{2}{-5} = -\frac{2}{5}
\]

Thus, the slope of the line through the given points is:

\[
\boxed{-\frac{2}{5}}
\]