You have to know the slopes of both lines.
-- Take the two slopes.
-- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.
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Two lines with the same slope are parallel.
For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.
if they are parallel they run side by side forever and will never cross. if they are perpendicular they will cross at a 90 degree angle. You can also tell just by looking at the equations for the lines if they are in the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). When two lines are parallel, they have the same slope. When two lines are perpendicular, the slope of one is the negative reciprocal of the slope of other. For example, a line with a slope of 2 is perpendicular to a line with a slope of -½, and a line with a slope of 1 is perpendicular to a line with a slope of -1. (y = 1 and x = 1 are perpendicular because the slope of y = 1 is zero, the slope of x = 1 is infinity, the reciprocal of infinity is zero, and negative zero equals zero.)
yes they do
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither