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If the slope of a line is zero What is the slope of the line that is parallel to it?
The parallel line would also have a slope of zero (both are horizontal lines).
Why are all horizontal lines parallel?
By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line.
What is the difference between undefined slope and no slope?
Undefined slope is when a line is exactly on the y-axis, for reasons unknown, the slope of a line on the y-axis cannot be determined, so therefore it it "undefined." A line with no slope is a line with a slope of zero. In order for a line to have a slope of zero, it must be directly on the x-axis, meaning it is horizontal. Horizontal lines are straight and have no slope
What is the slope of a line parallel to a line with slope -2?
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.
What is the definition of a slope of parallel lines?
Horizontal lines have a slope of zero, and the slope of vertical lines is undefined. Parallel lines have equal slopes, and perpendicular lines have slopes that are negative reciprocals of each other. So we can say that: Two nonvertical lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. That is, if the slopes are m1 and m2, then: m1 = - 1/m2 or (m1)(m2) = -1
