Use the slope formula m

We are given two points $(4, 5)$ and $(-2, 7)$ and asked to find the slope between them using the slope formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Step 1: Identify the coordinates

• $(x_1, y_1) = (4, 5)$
• $(x_2, y_2) = (-2, 7)$

Step 2: Apply the slope formula

Substitute the coordinates into the slope formula:

$m = \frac{7 - 5}{-2 - 4}$

$m = \frac{2}{-6}$

Step 3: Simplify the fraction

$m = \frac{2}{-6} = \frac{-1}{3}$

Thus, the slope $m$ is $\frac{-1}{3}$.

If you need further details or have questions, feel free to ask!

Here are 5 related questions:

1. How do you interpret a negative slope in a graph?
2. What does it mean if the slope is zero?
3. Can a vertical line have a defined slope?
4. How does the slope relate to the angle of a line with the x-axis?
5. How do you calculate the slope if given a graph instead of points?

Tip: Always simplify the fraction when calculating slopes for clearer results.