i'm trying to find the equation of a straight line in y-mx+c from that is parallel to the line with the equation
Write the parallel line you are given in form.
.
Parallel lines have the same gradient. The gradient of the parallel line is , so the line you are trying to find has gradient .
The line you are trying to find has gradient , and you know the point lies on the line.
So
.
So the equation of the line is .