CAIE IGCSE Mathematics Extended Drawing Linear Graphs

Practise rearranging a linear equation when needed, identifying reliable points and drawing the required ruled straight line on a coordinate grid.

Exam points

plot two accurate points from each linear equation and join them with a ruled line
for x + y = 7, use intercepts (0, 7) and (7, 0) or rearrange to y = 7 − x

[Maximum number: 3]

Figure for Question E3.2.1 Draw straight-line graphs for linear equations question 1 — CAIE IGCSE Mathematics Extended

On the grid, draw the lines y=x and x+y=7.

$\begin{aligned}y&=x\text{ ruled}\\x+y&=7\text{ ruled}\end{aligned}$

B1 for y=x.
B2 for x+y=7, or B1 for a ruled line with gradient -1, or through (0,7) or (7,0), but not x=7 or y=7.

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E3.2.1 Draw straight-line graphs for linear equations question 1