It will have the same slope but a different y intercept
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Get in slope intercept form. 3X + 5Y = 15 5Y = -3X + 15 Y = -3/5X + 3 -3/5 is the slope of this line and the line parallel to this line
If you have a line, such as y=mx+b, in slope intercept form, you know that any line parallel to it has slope m also. It does not matter what the y intercept is, if slope is m, it will be parallel to the original line. Example: y=3x+2, than any line with slope 3 is parallel, so y=3x+15 is parallel. If you have a specific y intercept, say 29, than the parallel line will be y=3x+29 I can't read you equation well enough to understand them, but this should explain how to do it. So here is another example: A line parallel to y=4x+13 with y intercept 22 y=4x+22 is the answer.
If you mean y = 3x+8 then the parallel equation will have the same slope and works out as y = 3x+13
If you mean: y = -3x then the slope of the line is -3
y=3x+b -2=3*5+b b=-17 y=3x-17