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
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It will have the same slope which is 2
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
y=-x-4as this is in the form of y=mx+b, the slope of this line is -1.5x + 5y = 20x + y = 4y = -x + 4the slope of this line is -1.Since the slope of each of the two lines are the same (-1) they are in fact parallel to each other, not perpendicular.
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.
It will have the same slope but with a different y intercept