6.
A food pantry is making packages. Each package weighs 64 pounds.
Here are two situations. For each situation, write and solve an equation to represent the
situation, then explain what your solution means in the situation. If you get stuck, try
drawing a diagram. (8 points/4 points each)
a. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice.
The bags of rice are all identical,

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21

I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)