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inessss [21]
3 years ago
12

Help me please I really need it

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

y = - 2x + 7; slope m = -2

Parallel lines, slope is the same

So y = -2x + b

b = y + 2x

Passing thru (4 , 1)

Plug in

b = 1 + 2(4)

b = 9

Equation

y = - 2x + 9

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Determine the equation of the line that passes through points (-4,5) and has a slope of m = -3
zheka24 [161]

Answer:

y=-3x-7

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:

y=-3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,5). When x of the line is -4, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).

So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.

4 0
3 years ago
Suzette deposited $800 into a bank account earning simple interest of 2.5% each year. After 5 years, how much interest had her a
Blababa [14]

Answer:

\boxed {\boxed {\sf \$ 100.00}}

Step-by-step explanation:

The formula for simple interest is

I=prt

where <em>p</em> is the principal, <em>r </em>is the rate, and <em>t</em> is the time.

The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.

Divide by 100 or move the decimal place two spots to the left.

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Substitute the known values into the formula.

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Multiply.

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After 5 years, Suzette's account has earned $100.00

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