Question

) What is the slope of this line?

-8 -7 -6 -5 -4 -3 -2
A
7
-6-
-5-
-4-
32 ÷
-2
-3
A
-5
-6-
-7
1 2 3 4 5 6 7 8
4
4) Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

The slope of the line passing through the points (5, 4) and (0, 0) is
`\( (4)/(5) \).`

To find the slope (m) of the line passing through the points (5, 4) and (0, 0), we can use the slope formula:

`\[ m = \frac{\text{change in } y}{\text{change in } x} \]`

For the given points (5, 4) and (0, 0), the change in y is 4 - 0 = 4, and the change in x is 5 - 0 = 5.

Substituting these values into the slope formula:

`\[ m = (4)/(5) \]`

The slope of the line is
`\( (4)/(5) \).`

This means that for every unit increase in \(x\), there is a corresponding increase of
`\( (4)/(5) \).` units in y.

In summary, the slope of the line passing through the points (5, 4) and (0, 0) is
`\( (4)/(5) \).`