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.