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How do you use the slopes and y-intercepts to determine if two lines coincide or are parallel?
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
How wold you classify two linear equations have the same y-intercept and different slopes?
Two linear equations (or lines) with the same y-intercept and different slopes are intersecting lines. They intersect at the y-intercept. If the slopes are negative reciprocals (ex: one slope is 3 and one slope it -1/3) then they are perpendicular lines.
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
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
