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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.
What is lines that have exactly one point in common?
Food lines
Lines that have exactly one point in common?
intersecting lines
Does every pair of linear simultaneous equations have a solution?
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
Does every line have exactly one x-intercept and one y-intercept?
Yes. Remember that the intercepts are where the line crosses the axis. Since each axis is also a line this is the same as saying that any two lines that cross, cross at only one point. I wonder if a curved line could perhaps cross an axis twice.
