Question

determine the slope of the line that contains the points {3,9) and (6,12) show your work

Answer 1

To determine the slope of a line that passes through two points, we 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.

Given the points \((3, 9)\) and \((6, 12)\), we can assign the values as follows:

- \(x_1 = 3\)
- \(y_1 = 9\)
- \(x_2 = 6\)
- \(y_2 = 12\)

Now, we can substitute these values into the slope formula:

\[
m = \frac{12 - 9}{6 - 3}
\]

Calculating the differences:

\[
m = \frac{3}{3}
\]

Now, we simplify the fraction:

\[
m = 1
\]

So, the slope of the line that contains the points \((3, 9)\) and \((6, 12)\) is \(1\).