Determine the slope of the line that passes through the points E(-1, 9) and F(2, -3)

slope EF = (-3-9)/(2+1) = -12/3 = -4

-1/4

Points E(–1, 9) and F(2, –3) are on a line. What is the slope of the line

To determine the slope of the line that passes through the points E(-1, 9) and F(2, -3), we can use the formula for the slope of a line:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) represents the coordinates of point E and (x2, y2) represents the coordinates of point F.

Using the given points, we have:

x1 = -1
y1 = 9
x2 = 2
y2 = -3

Now we can substitute these values into the formula:

slope = (-3 - 9) / (2 - (-1))
= (-3 - 9) / (2 + 1)
= (-12) / (3)
= -4

Therefore, the slope of the line that passes through the points E(-1, 9) and F(2, -3) is -4.