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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