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Can two different linear functions have the same y-intercept?
yes
When lines intersect at the same point are they on the same plane?
No because only co-linear lines lie on the same plane
How many planes can pass through line?
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.
How is graphing a linear equality different from graphing linear equation?
They are the same.
Is it possible for 2 linear functions whose graphs are parallel lines to have the same y-intercept?
Only if the two functions really represent the same function.
Can two different linear functions have the same y-intercept?
yes
Can a system of linear equation have more than one solutions?
No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.
When lines intersect at the same point are they on the same plane?
No because only co-linear lines lie on the same plane
When two lines intersect how many points do they have in common?
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
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.
How many planes can pass through line?
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.
What are the three types of possible solutions to a system of equations?
If the equations are linear, they may have no common solutions, one common solutions, or infinitely many solutions. Graphically, in the simplest case you have two straight lines; these can be parallel, intersect in a same point, or actually be the same line. If the equations are non-linear, they may have any amount of solutions. For example, two different intersecting ellipses may intersect in up to four points.
How is graphing a linear equality different from graphing linear equation?
They are the same.
Is it possible for 2 linear functions whose graphs are parallel lines to have the same y-intercept?
Only if the two functions really represent the same function.
What is parallel planes?
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect
Are two lines that do not intersect and have the same slope?
They are parallel lines which have the same slope but different y intercepts.
These are two lines that do not intersect and have the same slope?
They are parallel lines which have the same slope but different y intercepts.
