Line passing through (3,7) and (-5,3)

Distance between the two points

1.A linepasses throughthepoints(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 thetwopoints(iv)Find the equation of the line that is parallel to line at (iii) and passes through point (4,1). (v)Find the equation of the straight line that is perpendicular to the line (iv),passes through midpoint at (ii).(vi)Express the equation at (iii), (iv) and (v) in Standard Form.(vii)Find equation of the line that is parallel to x-axis and passes through point (4,1).(viii)Sketch the graph oftheequation at (iii), (iv), (v)and (vii)in the same plane.