Answer:

Gradient = -3
• Parallel lines have the same gradient, therefore gradient, m is -3

• At point (0, -4)

y intercept is -4

Answer:

b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

Isolate b in order to find out how many points they need in the district match:

They need to score (T - a - c - d)/3, in the district match in order to win.
We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this:
(x + 5)(x + 2) = x^2 + 2x + 5x + 10 = x^2 + 7x + 10
middle term is 7x