Which of the following equations has a graph PARALLEL to the line y = 4x + 7
and has an x-intercept of -2?
y = 7/2x + 7
y = -1/4x + 1/2
y = 4x - 2

Using concepts of linear functions, it is found that the equation y = 4x - 2 has the desired characteristics.

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The equation of a line is given by:

A similar problem is given at link

y = 4x - 2

Step-by-step explanation:

This equation has the same slope as the equation given which means that they are parallel lines. This equation also has a y-intercept of -2.

I graphed both equations below to show you that they are parallel.

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step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.