Question
x: -1, 1, 3
y: 6, 9,12
Use the data from the table to determine the slope of the line.
A: 3/2
B: 2/3
C: 3/0
D: 3
y: 6, 9,12
Use the data from the table to determine the slope of the line.
A: 3/2
B: 2/3
C: 3/0
D: 3
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the slope of the line using the given points, we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Let's use the points (1, 9) and (3, 12):
\[
(x_1, y_1) = (1, 9)\
(x_2, y_2) = (3, 12)
\]
Now, plug the values into the formula:
\[
m = \frac{12 - 9}{3 - 1} = \frac{3}{2}
\]
So, the slope of the line is \( \frac{3}{2} \).
The correct answer is:
**A: \( \frac{3}{2} \)**.
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Let's use the points (1, 9) and (3, 12):
\[
(x_1, y_1) = (1, 9)\
(x_2, y_2) = (3, 12)
\]
Now, plug the values into the formula:
\[
m = \frac{12 - 9}{3 - 1} = \frac{3}{2}
\]
So, the slope of the line is \( \frac{3}{2} \).
The correct answer is:
**A: \( \frac{3}{2} \)**.
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