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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.
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.
What is lines that have exactly one point in common?
Food lines
Lines that have exactly one point in common?
intersecting lines
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.
How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
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 share a common point are?
Lines sharing a common point intercept at that point.
What do you call the point when two lines intersect?
The intercept
Can parallel lines have the same intercept value?
Unless they are the exact same lines, no. Parallel lines do not touch. If two lines have the same intercept value, they share a point, and therefore touch.
Do perarallel lines have the same y-intercept?
If parallel lines had the same y intercept then they would intersect each other at that point (0, c). Parallel lines don't intersect at all so they cannot have the same y intercept. The only exception would be if both lines were the same.
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.
Lines that intersect to form right angles at ther point of intersection?
Lines that intersect to form right angles at their point of intersection have slopes that are negative reciprocals.
What is lines that have exactly one point in common?
Food lines
Lines that have exactly one point in common?
intersecting lines
What are lines that exactly one point in common?
Intersecting lines
What are lines that have exactly 1 point in common?
intersecting lines
