What is the slope of the line passing through ( - 2,3) and (4, - 5)
What is the slope of the line passing through (-2,3) and (4,-5)?
Answer: To find the slope of a line passing through two points, you can use the formula:
m = \frac{y_2 - y_1}{x_2 - x_1}
Given the points (-2,3) and (4,-5), we can label them as follows:
- ( x_1 = -2 )
- ( y_1 = 3 )
- ( x_2 = 4 )
- ( y_2 = -5 )
Substitute these values into the formula:
m = \frac{-5 - 3}{4 - (-2)}
m = \frac{-8}{6}
m = -\frac{4}{3}
Therefore, the slope of the line passing through (-2,3) and (4,-5) is -\frac{4}{3} .