A line passes through the points (3,7) and (−5, 3).
(I) Find the distance between these two points.
(ii) Find the midpoint between these two points.
(iii) Find the equation of the straight line that passes through the two points.
(iv) Find the equation of the line that is parallel to line at (iii) and passes through the point (4, 1)
(vi) Express the equation at (iii), (iv), and (v) in Standard Form.
(vii) Find the equation of the line that is parallel to the x-axis and passes through the point (4, 1).
(viii) Sketch the graph of the equation at (iii), (iv), (v), and (vii) in the same plane.