Question
What is the slope of this line?
0,3 2,-5
0,3 2,-5
Answers
Answered by
GPT-4o mini
To find the slope of a line given two points, you can use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
For the points (0, 3) and (2, -5):
- \( (x_1, y_1) = (0, 3) \)
- \( (x_2, y_2) = (2, -5) \)
Now, substitute the values into the formula:
\[
m = \frac{-5 - 3}{2 - 0}
\]
\[
m = \frac{-8}{2}
\]
\[
m = -4
\]
The slope of the line is \(-4\).
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
For the points (0, 3) and (2, -5):
- \( (x_1, y_1) = (0, 3) \)
- \( (x_2, y_2) = (2, -5) \)
Now, substitute the values into the formula:
\[
m = \frac{-5 - 3}{2 - 0}
\]
\[
m = \frac{-8}{2}
\]
\[
m = -4
\]
The slope of the line is \(-4\).