Question

what is the slope if the coordinates are (-4, 5) and (-2, 1)

Answer 1

To find the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the slope formula:

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

For the points \((-4, 5)\) and \((-2, 1)\):

- \(x_1 = -4\), \(y_1 = 5\)
- \(x_2 = -2\), \(y_2 = 1\)

Now substitute these values into the formula:

\[
m = \frac{1 - 5}{-2 - (-4)}
\]

Calculating the numerator:

\[
1 - 5 = -4
\]

Calculating the denominator:

\[
-2 - (-4) = -2 + 4 = 2
\]

Now put it all together:

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

So, the slope is \(-2\).