Yes, except when the line is in the plane. In the latter case, they intersect at each point on the line (an infinite number).
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In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
A line can have only one y-intercept. The y-intercept is the point at which the line intersects the y-axis on a graph, and it is determined by the equation of the line. Since a line can only intersect the y-axis at one point, it can have at most one y-intercept.
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.
no it won't In fact a function can NEVER be vertical. Not only that, it cannot loop back so that two (or more) points are above one another. For a function, there can be at most one y-value for any x-value so any vertical line will intersect the function at most once.
The Vertical Line Test for Functions: If any vertical line intercepts a graph in more than one point, the graph does not define y as a function of x. By the definition of a function, for each value of x we can have at most one value for y.