Use the slope formula 
m
=
y
2
−
y
1
x
2
−
x
1
 to find to find the slope between points 
(
4
,
5
)
 and 
(
−
2
,
7
)
. Enter your answer as a reduced fraction. Write "und" if the slope is undefined. (Webwork will ask you to type "undefined".)

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.

Use the slope formula m = (y2 - y1) / (x2 - x1) to find the slope between points (4, 5) and (-2, 7). Enter your answer as a reduced fraction. Write 'und' if the slope is undefined. (Webwork will ask you to type 'undefined'.)

Learn how to find the slope between points (4, 5) and (-2, 7) using the slope formula. This problem covers essential concepts in algebra and coordinate geometry, including simplifying fractions and interpreting slope values. Suitable for students in Grades 8-10.

Math Problem Statement

Use the slope formula m

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