Question

What is the slope of this line? 1,4 -1,-2

Answer 1

To find the slope of the line that passes through the points (1, 4) and (-1, -2), you can use the slope formula:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. In this case, we have:

- \( (x_1, y_1) = (1, 4) \)
- \( (x_2, y_2) = (-1, -2) \)

Now plug these values into the formula:

\[
m = \frac{-2 - 4}{-1 - 1}
\]

Calculating the numerator:

\[
-2 - 4 = -6
\]

Calculating the denominator:

\[
-1 - 1 = -2
\]

Now substitute back into the formula:

\[
m = \frac{-6}{-2} = 3
\]

Thus, the slope of the line is \(3\).