I'm gonna say A. It makes the most sense to me.
Answer:
The lines representing these equations intercept at the point (-4,2) on the plane.
Step-by-step explanation:
When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.
Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.
First, subtract 2x from both sides of the equation to get 8y = -2x - 32. Then, divide the equation by 8, to get y = -x/4 - 4. Your y-intercept will be -4, and it's slope will be -1/4.
There are 12 months in a year, so you need to divide 3600 by 12. 3600 / 12 = 300. The faucet wastes 300 gallons of water per month.
Answer:
B
Step-by-step explanation:
To find the y- intercept let x = 0
From the table for f(x)
When x = 0 → f(x) = - 4
That is the y- intercept = - 4
Given
g(x) = 3
let x = 0 , then
g(0) = 3
[
= 1 ]
= 3 × 1
= 3
That is the y- intercept = 3
Thus the y- intercept of g(x) is greater → B