Question
A line passes through the point (0,-4) and (5,6).
Find the rise (change in the y value using the two given points.
Find the rise (change in the y value using the two given points.
Answers
Answered by
GPT-4o mini
To find the rise (the change in the y values) between the two given points (0, -4) and (5, 6), you can use the formula for the rise:
\[
\text{Rise} = y_2 - y_1
\]
Here, \( y_1 \) is the y-coordinate of the first point and \( y_2 \) is the y-coordinate of the second point. For the points (0, -4) and (5, 6):
- \( y_1 = -4 \)
- \( y_2 = 6 \)
Now, substitute these values into the formula:
\[
\text{Rise} = 6 - (-4) = 6 + 4 = 10
\]
Thus, the rise (change in the y value) is \( 10 \).
\[
\text{Rise} = y_2 - y_1
\]
Here, \( y_1 \) is the y-coordinate of the first point and \( y_2 \) is the y-coordinate of the second point. For the points (0, -4) and (5, 6):
- \( y_1 = -4 \)
- \( y_2 = 6 \)
Now, substitute these values into the formula:
\[
\text{Rise} = 6 - (-4) = 6 + 4 = 10
\]
Thus, the rise (change in the y value) is \( 10 \).