The table lists some values of $y = \frac{6}{x}$. The x-values shown are -5, -4, -3, -2, -1, 1, 2, 3, 4, 5. The y-values already given are: when x = -5, y = -1.2; when x = -4, y = -1.5; when x = 1, y = 6; when x = 3, y = 2; when x = 4, y = 1.5; when x = 5, y = 1.2.
(a(i))[2]
Fill in the table.
(a(ii))[4]
Using the grid, draw the graph of $y = \frac{6}{x}$ for $-5 \leq x \leq -1$ and $1 \leq x \leq 5$.
(a(iii))[1]
On the same grid, draw the line $y = 4$.
(a(iv))[1]
Find the co-ordinates of the point where the line $y = 4$ meets the graph of $y = \frac{6}{x}$.
(b(i))[1]
On this grid, plot point $A (-1, -3)$.
(b(ii))[1]
Draw a line with gradient 2 through point $A$.
(b(iii))[2]
Write the equation of your line in the form $y = mx + c$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “-2, -3, -6, 3” …