help me!!!! how do i calculate the slope of this line?? 
(3,8) and (0,4)
also 
(-1,2) and (6,5)
also 
(-4,-1) and (9,-3)

To calculate the slope of a line given two points, 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.

Let's calculate the slope for each pair of points:

### 1. Points (3, 8) and (0, 4):

\[
m = \frac{{4 - 8}}{{0 - 3}} = \frac{{-4}}{{-3}} = \frac{4}{3}
\]

The slope is \(\frac{4}{3}\).

### 2. Points (-1, 2) and (6, 5):

\[
m = \frac{{5 - 2}}{{6 - (-1)}} = \frac{{3}}{{6 + 1}} = \frac{3}{7}
\]

The slope is \(\frac{3}{7}\).

### 3. Points (-4, -1) and (9, -3):

\[
m = \frac{{-3 - (-1)}}{{9 - (-4)}} = \frac{{-3 + 1}}{{9 + 4}} = \frac{{-2}}{{13}}
\]

The slope is \(-\frac{2}{13}\).

### Summary of Slopes:
1. Slope of line through (3, 8) and (0, 4): \(\frac{4}{3}\)
2. Slope of line through (-1, 2) and (6, 5): \(\frac{3}{7}\)
3. Slope of line through (-4, -1) and (9, -3): \(-\frac{2}{13}\)

Would you like further details on how these calculations were performed? Here are some related questions:

1. How do you interpret the slope of a line in different contexts?
2. What is the significance of a positive versus negative slope?
3. How do you calculate the slope of a vertical or horizontal line?
4. Can a line have an undefined slope? If so, when?
5. How does the slope relate to the angle of inclination of a line?

**Tip:** Always make sure to subtract the coordinates in the same order for both the numerator and denominator to avoid mistakes when calculating slopes!

help me!!!! how do i calculate the slope of this line?? (3,8) and (0,4) also (-1,2) and (6,5) also (-4,-1) and (9,-3)

Learn how to calculate the slope of a line given pairs of points, including (3, 8) and (0, 4), (-1, 2) and (6, 5), and (-4, -1) and (9, -3). This guide covers the slope formula and its application in coordinate geometry, suitable for students in Grades 6-8.

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