To find the slope of the line that passes through two points, you can use the formula for the slope:
[tex]\[ \text{slope} = \frac{\Delta y}{\Delta x} \][/tex]
Here, [tex]\(\Delta y\)[/tex] represents the difference in the [tex]\(y\)[/tex]-coordinates and [tex]\(\Delta x\)[/tex] represents the difference in the [tex]\(x\)[/tex]-coordinates.
In this case:
- The difference in the [tex]\(x\)[/tex]-coordinates ([tex]\(\Delta x\)[/tex]) is 3.
- The difference in the [tex]\(y\)[/tex]-coordinates ([tex]\(\Delta y\)[/tex]) is 6.
Plug these values into the formula:
[tex]\[ \text{slope} = \frac{6}{3} = 2 \][/tex]
Therefore, the slope of the line that passes through the two points is [tex]\(2.0\)[/tex]. The correct answer is:
2
