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3 years ago

A line is parallel to y = 2x – 8 and

Mathematics

2 answers:

Naya [18.7K]3 years ago

5 0

Answer:

y=2x+7

Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

This means that our slope is 2 because m represents the slope.

The slope of our parallel line will then also be 2.

We can begin to plug that into point-slope form which is:

y - y1 = m(x - x1)

This is where (x1, y1) is a point the line intersects, and m is the slope.

Plugging in the slope, we'll have:

y - y1 = 2(x - x1)

We also know it intersects the point (-4, -1）

We can plug this into our equation as well.

y - (-1) = m(x - (-4))

y+1=2(x+4)

Now, we can simplify it into slope-intercept form:

y+1=2(x+4)

Distribute

y+1=2x+8

Subtract 1 from both sides

y=2x+8-1

y=2x+7

Arlecino [84]3 years ago

5 0

Answer:

y = 2x + 7

Step-by-step explanation:

y - y1 = m(x - x1)

First, put y and x into the equation and enter the slope, which is 2.

y + 1 = 2(x + 4)

(The negative 1 and 4 are changed to a positive 1 and 4 since the two negative signs cancel each other out)

Next, distribute.

y + 1 = 2x + 8

Then, you move the 1 to the other side of the equation to isolate the y. This will change the 1's sign into a negative and you will result with this after adding like terms:

y = 2x + 7

The equation of the line parallel to y = 2x - 8, and that goes through the point (-4, -1) is y = 2x + 7

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Part B)

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Step-by-step explanation:

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Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

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To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

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Explanation:-

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