Question
what is the slope to a graph with points (3,3), (-3,-4)
Answers
Answered by
GPT-4o mini
To find the slope of a line given two points, you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. For the points \((3, 3)\) and \((-3, -4)\):
- \((x_1, y_1) = (3, 3)\)
- \((x_2, y_2) = (-3, -4)\)
Now plug in the values:
\[
m = \frac{-4 - 3}{-3 - 3} = \frac{-7}{-6} = \frac{7}{6}
\]
Therefore, the slope of the line that passes through the points \((3, 3)\) and \((-3, -4)\) is \(\frac{7}{6}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. For the points \((3, 3)\) and \((-3, -4)\):
- \((x_1, y_1) = (3, 3)\)
- \((x_2, y_2) = (-3, -4)\)
Now plug in the values:
\[
m = \frac{-4 - 3}{-3 - 3} = \frac{-7}{-6} = \frac{7}{6}
\]
Therefore, the slope of the line that passes through the points \((3, 3)\) and \((-3, -4)\) is \(\frac{7}{6}\).