CO-ORDINATE GEOMETRY
CO-ORDINATE GEOMETRY
CO-ORDINATE GEOMETRY
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24. a) Find the equation of the line which passes through the points (2, 2) and (5, 8).<br />
b) Does the line pass through the point ( 2, 6 ) ?<br />
Give a reason for your answer.<br />
25. a) Find the gradient of the line joining the points A ( 1,<br />
2) and B(3, 4).<br />
b) Hence find the equation of the line joining the points A and B in the form<br />
y = mx + c.<br />
c) Rearrange the formula to show that the equation of the line can be written<br />
2y x = 5.<br />
d) The line cuts the x-axis at the point P and the y-axis at the point Q.<br />
Find the co-ordinates of P and Q.<br />
y<br />
2y x = 5<br />
Q<br />
P<br />
x<br />
26. a) Find the gradient of the line joining the points A ( 1,<br />
3) and B(4, 1).<br />
b) Hence find the equation of the line joining the points A and B in the form<br />
y = mx + c.<br />
c) Rearrange the formula to show that the equation of the line can be written<br />
3y + 2x = 11.<br />
d) The line cuts the x-axis at the point P and the y-axis at the point Q.<br />
y<br />
Find the co-ordinates of P and Q.<br />
3y + 2x =11<br />
Q<br />
27. Points A and B have co-ordinates (3, 1) and (7, 4).<br />
P<br />
x<br />
a) Find the co-ordinates of M, the midpoint of AB.<br />
b) Find the gradient of AB.<br />
c) Find the equation of the perpendicular bisector of AB.<br />
d) Find the co-ordinates of the point where this line crosses the x-axis.<br />
www.mathsguru.co.uk<br />
A<br />
M<br />
B