how do i find the slope of line AB if A`s coordinates are(-4,3) and B`s coordinates are (2,-1)

A(-4,3) and B(2,-1)

If you have points A(x1,y1) and B(x2,y2)
Slope m = (y2 - y1)/(x2 - x1)

so i just have to do (-1-3)/(3-(-4)

m = (-1-3)/(2-(-4)

You had 3, should be 2

To find the slope of a line AB, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, point A has coordinates (-4, 3) and point B has coordinates (2, -1).

To calculate the change in y-coordinates, you subtract the y-coordinate of point A from the y-coordinate of point B:
change in y-coordinates = -1 - 3 = -4

To calculate the change in x-coordinates, you subtract the x-coordinate of point A from the x-coordinate of point B:
change in x-coordinates = 2 - (-4) = 6

Now you can use the formula to find the slope:
slope = (-4) / 6 = -2/3

Therefore, the slope of the line AB is -2/3.