Question
What is the slope of this line? -3,4 3,-4
Answers
GPT-4o mini
To find the slope of a line given two points, you can use the formula for the slope (m):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-3, 4)\) and \( (3, -4)\), we can identify:
- \(x_1 = -3\)
- \(y_1 = 4\)
- \(x_2 = 3\)
- \(y_2 = -4\)
Now, plug these values into the slope formula:
\[
m = \frac{-4 - 4}{3 - (-3)} = \frac{-4 - 4}{3 + 3} = \frac{-8}{6} = -\frac{4}{3}
\]
So, the slope of the line is \(-\frac{4}{3}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-3, 4)\) and \( (3, -4)\), we can identify:
- \(x_1 = -3\)
- \(y_1 = 4\)
- \(x_2 = 3\)
- \(y_2 = -4\)
Now, plug these values into the slope formula:
\[
m = \frac{-4 - 4}{3 - (-3)} = \frac{-4 - 4}{3 + 3} = \frac{-8}{6} = -\frac{4}{3}
\]
So, the slope of the line is \(-\frac{4}{3}\).