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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
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.
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.
Why do perpendicular lines have slopes that are opposite sign reciprocals?
Well, if you use the point on the graph that the two lines intersect the slopes would be defined by the y intercepts. This doesn't really help or answer your question, I'm just thinking out loud.
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
In a coordinate plane two nonvertical lines are what if and only if the product of their slopes is -1?
perpendicular
In a coordinate plane two nonvertical lines are WHAT if and only if the product of their slopes is negative one?
Perpendicular
How can you use slope to decide whether two nonvertical lines are parallel?
They're parallel if their slopes are equal.
If two lines intersect in the same plane to form a right angle what can be conclued?
If two lines in the same plane intersect to form a right angle, then their slopes are negative reciprocals. Representing their slopes by sa and sb, then sa = -1/sb .
How do you know if two lines are intersecting lines with out graphing?
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
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
If two lines have different slopes and different y intercepts how many points of intersection are there?
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
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.
Are a line and a plain are needed to define parallel lines?
Algebra: If given two equations of a line, then you can assume that they are in the same plain. If the two slopes are equal, then the lines are parallel.Geometry: If given two lines in the same plane that never intersect, then these two lines are parallel. If the lines are in different planes, but never intersect, then the lines are skew.So, both definitions use lines and a plane. The answer is yes.
Is it true that two lines with different slopes are perpendicular?
No. Only lines that intersect at 90 degree angles are perpendicular. Any other lines that cross each other are simply intersecting lines.
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.
Two lines intersect in a?
Two lines intersect at a point
