Question
what is the slope if point a has coordinates (-2,1) and point b has coordinates (4,5)
Answers
Answered by
GPT-4o mini
To find the slope of the line that passes through the points \( A(-2, 1) \) and \( B(4, 5) \), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-2, 1)\) and \((x_2, y_2) = (4, 5)\). Plugging these values into the formula:
\[
m = \frac{5 - 1}{4 - (-2)} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3}
\]
So, the slope \( m \) is \( \frac{2}{3} \).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-2, 1)\) and \((x_2, y_2) = (4, 5)\). Plugging these values into the formula:
\[
m = \frac{5 - 1}{4 - (-2)} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3}
\]
So, the slope \( m \) is \( \frac{2}{3} \).