what are lines that cross eachother at exactly 1 point?
Lines that cross each other at exactly 1 point are called intersecting lines. To determine if two lines are intersecting, you need to compare their equations.
1. Start by writing down the equations of the two lines in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
2. Compare the slopes of the two lines. If the slopes are different, then the lines are not parallel and they will intersect at a single point. If the slopes are the same, the lines are either coincident (they lie on top of each other and have infinite points of intersection) or parallel (they never intersect).
3. If the slopes of the two lines are different, calculate the y-coordinate of the intersection point by setting the two equations equal to each other and solving for y.
4. Often, once you have the y-coordinate, you can substitute it back into one of the original line equations to solve for the x-coordinate.
5. Once you have both the x and y coordinates of the intersection point, you can confirm that the lines cross each other at exactly one point.
Remember to be careful with rounding errors when solving numerical equations.