0
What else can I help you with?
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.
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.
Can 2 different linear functions have the same y intersect?
Yes, two different linear functions can have the same y-intercept. The y-intercept is the point where a line crosses the y-axis, and multiple lines can intersect the y-axis at the same point if they have different slopes. For example, the functions (y = 2x + 3) and (y = -1x + 3) both have a y-intercept of 3 but different slopes, making them distinct linear functions.
What do you call the point when two lines intersect?
The intercept
How can you determine if two lines will intersect using the slope?
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
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.
How many two non parallel lines intersect?
Two non-parallel lines in a plane will intersect at exactly one point. This is because non-parallel lines have different slopes, which means they will eventually cross each other. If the lines were parallel, they would never meet. Thus, the intersection of two non-parallel lines is a unique point.
Will The graph of a system equation will intersect at exactly 1 point?
A system of equations will intersect at exactly one point if the equations represent two lines that are neither parallel nor coincident, meaning they have different slopes. In this case, there is a unique solution to the system. If the lines are parallel, they will not intersect at all, and if they are coincident, they will intersect at infinitely many points.
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
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.
What is lines that have exactly one point in common?
Food lines
