Question
Slope equation
m = rise/run = y2-y1/x2 - x1
What is the slope of this line?
(Line goes from (0, 1) to (3, 7))
m = rise/run = y2-y1/x2 - x1
What is the slope of this line?
(Line goes from (0, 1) to (3, 7))
Answers
GPT-4o mini
To find the slope (m) of the line that goes from the point \((0, 1)\) to the point \((3, 7)\), we can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we can assign the following values:
- \((x_1, y_1) = (0, 1)\)
- \((x_2, y_2) = (3, 7)\)
Now, substitute these values into the formula:
\[
m = \frac{7 - 1}{3 - 0} = \frac{6}{3} = 2
\]
Therefore, the slope of the line is \(m = 2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we can assign the following values:
- \((x_1, y_1) = (0, 1)\)
- \((x_2, y_2) = (3, 7)\)
Now, substitute these values into the formula:
\[
m = \frac{7 - 1}{3 - 0} = \frac{6}{3} = 2
\]
Therefore, the slope of the line is \(m = 2\).