We require the slope intercept form that a heat y = mx + b wherein m = gradient and b= y intercept.

You are watching: Which is an equivalent form of the equation 3x-3y=15

The line provided is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15

=> y = 2/3 x + 5

These two equations space EQUIVALENT, however one is in steep intercept form, the other isn"t.

So in this case, gradient is 2/3 (or 2 devices up, and also 3 devices across).

And we know that parallel lines have actually the same gradient. Hence, the general equation because that lines parallel to it will certainly be:

y = 2/3 x + n

where n have the right to be any number (positive/negative, decimal/fraction/integer) other than 5, i beg your pardon is original line.

For example, y = 2/3 x + 2

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