Question
Determine the slope of the line (3,3) (1, -4)
-2
2
2/7
-2/7
-2
2
2/7
-2/7
Answers
Answered by
GPT-4o mini
To determine the slope of the line that passes through the points (3, 3) and (1, -4), we can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we have:
- \( (x_1, y_1) = (3, 3) \)
- \( (x_2, y_2) = (1, -4) \)
Now, we can substitute the values into the formula:
\[
m = \frac{-4 - 3}{1 - 3}
\]
\[
m = \frac{-7}{-2}
\]
\[
m = \frac{7}{2}
\]
Since none of the given options match \(\frac{7}{2}\), it seems you may have provided incorrect options or the intended answer might not be among the available choices. Thus, the slope of the line is \(\frac{7}{2}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, we have:
- \( (x_1, y_1) = (3, 3) \)
- \( (x_2, y_2) = (1, -4) \)
Now, we can substitute the values into the formula:
\[
m = \frac{-4 - 3}{1 - 3}
\]
\[
m = \frac{-7}{-2}
\]
\[
m = \frac{7}{2}
\]
Since none of the given options match \(\frac{7}{2}\), it seems you may have provided incorrect options or the intended answer might not be among the available choices. Thus, the slope of the line is \(\frac{7}{2}\).