Slope, distance and the area of a triangle defined by three points

Here is a link to practice problems for slope, distance and the area of a triangle defined by three points.

Here are another three points and the origin: (1, 7) (4, 6) (3,-3) and (0,0)

Slope problems.
Find the slope of the line connecting the points. Write them as fractions in lowest terms. (Note: if the answer is a whole number, leave it as a whole number. 3 is simpler than 3/1.)

a) (1,7) and (4,6)
b) (1,7) and (3,-3)
c) (1,7) and (0,0)
d) (4,6) and (3,-3)
e) (4,6) and (0,0)
f) (3,-3) and (0,0)

Distance problems
Find the distance between the pairs of points and write the answer as a simplified square root.
a) (1,7) and (4,6)
b) (1,7) and (3,-3)
c) (1,7) and (0,0)
d) (4,6) and (3,-3)
e) (4,6) and (0,0)
f) (3,-3) and (0,0)

Areas of triangles
Find the areas of the triangles defined by the following three points.
a) (1,7), (4,6) and (0,0)
b) (1,7), (3,-3) and (0,0)
c) (4,6), (3,-3) and (0,0)
d) (1,7), (4,6) and(3,-3)

Answers in the comments.