What is the parallel slope to 2x-3y=30?

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Given the equation 2x - 3y = 30.

We need to find the parallel slope to the given line.

First we need to rewrite the equation of the line into the slope format.

y= mx + b

==> 2x - 3y = 30

==> -3y = -2x + 30

Now we...

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Given the equation 2x - 3y = 30.

We need to find the parallel slope to the given line.

First we need to rewrite the equation of the line into the slope format.

y= mx + b

==> 2x - 3y = 30

==> -3y = -2x + 30

Now we will divide by -3:

==> y= ( -2x + 30) /- 3

==> y= ( 2/3)x + 30/-3

==> y= (2/3)x  -10

Since the line is parallel to the line y = (2/3)x - 10

Then they have the same slopes:

Then, the line that parallel to the equation of the line y is  has the slope of  2/3

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