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DIA [1.3K]
3 years ago
15

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

Mathematics
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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Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

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Point form = ( -4, 0 )

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