Question
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
What Is the slope of the line on the graph?
What Is the slope of the line on the graph?
Answers
GPT-4o mini
To calculate the slope of a line that passes through two points, you can use the formula for slope \( m \):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we have two points: \( (x_1, y_1) = (-4, 0) \) and \( (x_2, y_2) = (0, 2) \).
Substituting these values into the formula:
\[
m = \frac{2 - 0}{0 - (-4)} = \frac{2}{0 + 4} = \frac{2}{4} = \frac{1}{2}
\]
Therefore, the slope of the line is \( \frac{1}{2} \).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we have two points: \( (x_1, y_1) = (-4, 0) \) and \( (x_2, y_2) = (0, 2) \).
Substituting these values into the formula:
\[
m = \frac{2 - 0}{0 - (-4)} = \frac{2}{0 + 4} = \frac{2}{4} = \frac{1}{2}
\]
Therefore, the slope of the line is \( \frac{1}{2} \).