To determine if three points are collinear, we have to find two slopes using this points, if they are equl, the points are collinear.
Slope 1 using points D(0, -1) and E(4, 3):
m1 = (3 - (-1))/(4 - 0) = (3 + 1)/4 = 4/4 = 1
m1 = 1
Slope 2 using points D(0, -1) and F(6,5):
m2 = (5- (-1))/(6 - 0) = (5 + 1)/6 = 6/6 = 1
m2 = 1
Since both slopes are equal to 1, they are collinear
Answer:
D, E and F are collinear
