Question

A farmer decides to start selling his goats at a constant rate per
month. After seven months, he has 280 goats left. After eleven
months, he has 224 goats left.
If the farmer made a straight line graph representing how many goats
he had left over time, what would be the slope of the line?

Answer 1

The number of goats decrease by 14 each month.

A linear equation is in the form:

y = mx + b

where m is the slope of the line, y, x are variables, b is the y intercept.

Let y represent the number of goats left after x months.

After seven months, he has 280 goats left. It is given by (7, 280). After eleven

months, he has 224 goats left, it is given (11, 224).

$slope(m)=\frac{y_2-y_1}{x_2-x_1} =\frac{224-280}{11-7}=14$

The number of goats decrease by 14 each month.

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