The relation is given by y = 7x + c. A table of (x, y) pairs is provided, with some values missing. (a) Find the value of c. (b) Complete the table. (c) Draw the graph of the relation, using a scale o

Let's use the pair $(1, 2)$.
Substitute $x=1$ and $y=2$ into the equation $y = 7x + c$.

$$2 = 7(1) + c$$ $$2 = 7 + c$$

$$c = 2 - 7$$ $$c = \boxed{-5}$$

b)
Now that we know $c = -5$, the relation is $y = 7x - 5$. We will use this to complete the table.

$$y = 7(4) - 5 = 28 - 5 = 23$$

The completed table is:
x: -2, -1, 0, 1, 2, 3, 4, 5
y: -19, * -12*, * -5*, 2, 9, 16, 23, 30

c) (i)
This step requires drawing axes. As an AI, I cannot physically draw. You need to:

• Draw two perpendicular lines on your graph sheet.
• Label the horizontal axis OX (x-axis) and the vertical axis OY (y-axis).
• Use a scale of 2 cm to represent 1 unit on the x-axis.
• Use a scale of 2 cm to represent 5 units on the y-axis.

c) (ii)
This step requires marking the axes. As an AI, I cannot physically mark axes. You need to:

• Mark the x-axis from $-5$ to 5.
• Mark the y-axis from $-25$ to 35.

d)
This step requires plotting points and drawing a line. As an AI, I cannot physically perform this action. You need to:

• Plot the ordered pairs $(x, y)$ from the completed table in part (b) on your graph sheet. The points are: $(-2, -19), (-1, -12), (0, -5), (1, 2), (2, 9), (3, 16), (4, 23), (5, 30)$.
• Join these plotted points with a straight line using a ruler.

e)

Using the equation $y = 7x - 5$ for an exact calculation:

$$y = 7(3.2) - 5$$ $$y = 22.4 - 5$$ $$y = \boxed{17.4}$$