Apps. and Interpretation for IBDP Maths Ebook 1 | Page 106

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 29
1. A straight line L passes through the points (10, 6) and (20,11) .
(a)
Find the equation of L , giving the answer in general form.
L cuts the x -axis and the y -axis at A and B respectively.
[3]
(b) Write down the x -intercept and the y -intercept of L .
(c) Hence, write down the coordinates of the midpoint of AB .
[2]
[1]
2. A straight line L passes through the points ( �4, � 8) and (2, � 26) .
(a)
Find the equation of L , giving the answer in general form.
(b) Write down the x -intercept and the y -intercept of L .
(c) Write down the slope of the straight line passing through ( �4, � 8) and
perpendicular to L .
[3]
[2]
[1]
3. A straight line L
1
passes through the points (5,1) and (17, 37) .
(a) Find the equation of L
1
, giving the answer in general form.
[3]
(b) The equation of another straight line, L
2
, is given as 3x� y�100 � 0 . Find the
geometric relationship between L
1
and L
2
.
4. A straight line L
1
passes through the points ( � 4, 0) and (4, 40) .
[2]
(a) Find the equation of L
1
, giving the answer in general form.
[3]
(b) The equation of another straight line, L
2
, is given as x�5y�150 � 0. Find the
geometric relationship between L
1
and L
2
.
[2]
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