No. Parallel lines have equal slopes. That is, m1 = m2.
5y = -3x - 5 ----> y = -3/5 x - 1; m = -3/5
3y - 2x = -1 ----> y = 2/3 x - 1/3; m = 2/3
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It will have the same slope which is 2
5y = 2x - 5; y = (2/5)x - 1 Since two non-vertical line are parallel if they have the same slope, then 5y = 2x - 5 is parallel to any line with equation y = (2/5)x + c
In order for the two equations kx-8y-32 equals 0 and 4x-5y +17 equals 0 to produce parallel lines, "k" in the first equaation needs to equal 2. Then, when you plot the lines on a graph they lie parallel, with one equation liying above the y axis, and the other below it.
(9,3)
If: 4x = 5y Then: x = 5y/4