Cambridge IGCSE · Mathematics (0580)

Equations of linear graphs: Practice Questions

5 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Equations of linear graphs.

8 questions13 marksFree, no account

Question 1

1 mark

State the equation of the straight line that is parallel to the $x$-axis and passes through the point $(-4, 9)$.

Question 2

1 mark

Find the equation of the straight line passing through the points $(1, 5)$ and $(4, -1)$.
Give your answer in the form $y = mx + c$.

Question 3

1 mark

The point $A$ has coordinates $(-3, 8)$ and point $B$ has coordinates $(5, -2)$.
Find the equation of the line that is perpendicular to $AB$ and passes through the point $(0, 4)$.

Question 4

1 mark

A straight line is parallel to the x-axis and passes through the point $(-7, -3)$.
Find the equation of this line.

Question 5

1 mark

A line $L$ passes through the points $A(4, 7)$ and $B(8, 10)$.
Find the equation of line $L$ in the form $ax + by = c$, where $a$, $b$, and $c$ are integers and $a > 0$.

Question 6

2 marks

A straight line is parallel to the y-axis and passes through the point $(-7, 3)$.
State the equation of this line.

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Find the equation of the straight line that is parallel to the line $$y = -2x + 5$$ and passes through the point $$(3, 1)$$.

Write your answer out first, then check it against the worked solution.

Question 8

2 marks

Identify the gradient and the $y$-intercept of the straight line represented by the equation $y = 8 - 5x$.

Write your answer out first, then check it against the worked solution.

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