CAIE IGCSE Mathematics Extended E3.5 Equati…raphs

Covered syllabus points

[Maximum number: 3]

9 A is the point (0,2), B is the point (3,3) and C is the point (4,0).

Find the equation of the line AC.
Give your answer in the form y=mx+c.
y=

$y=-\frac12x+2$ oe
M1 for $\frac{0-2}{4-0}$ oe
M1 for substituting (0,2) or (4,0) into y= their mx+c oe
or B1 for answer y=kx+2

[Maximum number: 2]

O is the origin (0,0), A is the point (8,1) and B is the point (2,5).

Find the equation of the line AB.

Give your answer in the form y=m x+c.

y=

$y=-\frac23x+\frac{19}{3}$ oe
M1 for gradient $=\frac{1-5}{8-2}$ oe
M1 for substituting (8,1) or (2,5) into y= their mx+c

[Maximum number: 1]

Line L has the equation y=2(x-5).

Find the coordinates of the point where line L intersects the y-axis.

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