Cambridge International Mathematics

312 Straight lines (Chapter 14)

5 Find the equation connecting the variables

for the graph given.

6 Find the axes intercepts for a line with equation 2 x¡ 5 y=10, and hence draw a graph of this

line.

7 Find the equations of the following graphs:

abc

8 Find the gradient of a line with equation 4 x+3y=5.

9aFind the gradient of a line with equation y=2x¡ 3.

b Find, in gradient-intercept form, the equation of a line perpendicular to y=2x¡ 3 which

passes through(4,1).

10 Draw the graph of the line with equation y=¡ 2 x+7.

11 Find, in general form, the equation of the line perpendicular to 3 x¡ 5 y=4which passes through

(5,¡2).

12 Consider the points A(¡ 11 ,2),B(¡ 5 ,¡6),C(3,0) and D(¡ 3 ,8).

a Plot A, B, C and D on a set of axes.

b Show that all the sides of quadrilateral ABCD are equal in length.

c Show that line segment AB is perpendicular to line segment BC. Hence classify ABCD.

d ABCD has four lines of symmetry. Find their equations in general form.

e Find the midpoint of line segment AC.

f Check that each of the lines of symmetry passes through the point found ine.

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Y:\HAESE\IGCSE01\IG01_14\312IGCSE01_14.CDR Friday, 26 September 2008 1:36:04 PM PETER