Question
What is the slope of this line?
2,4 6,6
2,4 6,6
Answers
Answered by
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 \( (2, 4) \) and \( (6, 6) \):
- \( (x_1, y_1) = (2, 4) \)
- \( (x_2, y_2) = (6, 6) \)
Now, substitute the values into the slope formula:
\[
m = \frac{6 - 4}{6 - 2} = \frac{2}{4} = \frac{1}{2}
\]
So, the slope of the line is \( \frac{1}{2} \).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \( (2, 4) \) and \( (6, 6) \):
- \( (x_1, y_1) = (2, 4) \)
- \( (x_2, y_2) = (6, 6) \)
Now, substitute the values into the slope formula:
\[
m = \frac{6 - 4}{6 - 2} = \frac{2}{4} = \frac{1}{2}
\]
So, the slope of the line is \( \frac{1}{2} \).