Determine Whether The Graph Of Two Equations Are Perpendicular.y=9x-2, 5y=3-x?

The graphs are not perpendicular.

The slope of the first line is 9. The slope of the second is -1/5. In order for the lines to be perpendicular, the slope of the second would have to be -1/9, or the slope of the first would have to be 5.
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5y = 3 - x
y = (3/5) + (-1/5)x    (divide both sides of the equation by 5)