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3 years ago

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Which equation produces a line that is parallel to the line represented by the function below? y=2/5x+9

2 answers:

notka56 [123]3 years ago

6 0

Hello :

<span>a line that is parallel to the line represented by the function below? y=2/5x+9
has same slope : 2/5
an equation is: y =( 2/5)x+b</span>

mezya [45]3 years ago

5 0

I am assuming you meant:

y=2x/5+9

If so:

A parallel line must have the same slope. The line is of the form:

y=mx+b where m=slope, in this case 2/5

So the parallel line will be of the form:

y=2x/5+b where b is the y-intercept.

There are infinitely many solutions as any line with the same slope is parallel to the original line. However the y-intercept can be any real number, that is why there are infinitely many solutions...Any value of b in the line we found above will still be parallel to the original line...

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$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

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This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

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