Coordinate Geometry
Distance Formula

Midpoint Formula

Slope Formula

Question 1
Find the distance between the coordinates. and .
Question 2
Prove that the points, and form an iscosceles triangle.
Question 3
Point A has coordinates (1,2) and point B has coordinates (5,8). M is the midpoint of AB. Find the coordinates of M.
Question 4
Find the coordinates where the line 2y-3x-7=0 intersects the y-axis.
Question 5
Find the equation of the line that passes the points and .
Question 6
Find the equation of the line perpendicular to a line that passes through the points and .
Question 7
The line is parallel to the line and passes through the point . Find and .
Question 8
Find the slope of the line perpendicular to .
9

b)
Justify that a linear relationship exists between and .
c)
Find the linear relationship in standard form.
d)
Interpret what the gradient means in terms of and .
e)
Interpret what the -intercept means in terms of and .