Question

What is the slope of this line?
8
7
6
5
4
3
2
1
(4,3)
(0,0)
1
2
X
3
4 5
6 7 8
2
-8-7
-6
-5
-4
-3
-2
-1
-3
-4-
-5
-6-
-7
-8
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \( (0, 0) \) and \( (4, 3) \), we use the slope formula:

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

Assigning the points as follows:
- \( (x_1, y_1) = (0, 0) \)
- \( (x_2, y_2) = (4, 3) \)

Now substitute the values into the formula:

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

Thus, the slope of the line is

\[
\boxed{\frac{3}{4}}
\]