Apps. and Interpretation for IBDP Maths Ebook 1 | Page 108

Your Practice Set – Applications and Interpretation for IBDP Mathematics
2. The equation of a straight line L
1
is given as 3x� 2y� 4 � 0.
(a) Write down the gradient of L
1
.
[1]
(b) L
1
passes through the point (4, a ) . Find the value of a .
[2]
(c) Find the equation of another straight line L
2
such that L
2
is parallel to L
1
and L
2
passes through (1, � 7) , giving the answer in general form.
[3]
3. The equation of a straight line L
1
is given as 3x� y� 21 � 0 .
(a) Write down the gradient and the x -intercept of L
1
.
[2]
(b) Find the equation of another straight line L
2
such that L
2
is perpendicular to L
1
and they intersect on the x -axis, giving the answer in general form.
[3]
4. The equation of a straight line L
1
is given as 2x� 4y�17 � 0 .
(a) (i) Write down the gradient of L
1
.
(ii) Write down the y -intercept of L
1
.
[2]
(b) Find the equation of another straight line L
2
such that L
2
is perpendicular to L
1
and they intersect on the y -axis, giving the answer in general form.
(c) L
2
passes through the point ( b , 5.75) . Find the value of b .
[3]
[2]
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