A system of linear equations has a graph of 2 intersecting lines.

Part 1: Are the slopes the same or different?

Part 2: Are the x and y intercepts the same or different?

Part 3: How many solutions would this system of equations have?

Question

A system of linear equations has a graph of 2 intersecting lines.

Part 1: Are the slopes the same or different?

Part 2: Are the x and y intercepts the same or different?

Part 3: How many solutions would this system of equations have?

anonymous · Answer

1. same
2. same
3. infinite

anonymous · Answer

1. If the lines are intersecting then the slopes MUST be different.

2. The x and y intercepts are only the same if the lines are the same ei. (on top of one another) so No, if they are intersecting at one point the intercepts must be different.

3. If the two lines are intersecting at one point, that point is the only solution.

anonymous · Answer

I believe they are referring linear equations that do not have infinite solutions.  Since the lines are "intersecting" that should mean intersecting at one and only one point.

anonymous · Answer

Slopes are only the same for parallel lines.  Parallel lines are never intersecting at one point (as far as we are concerned).  either they are not touching, or they are directly "on top" of one another in which case, they are touching at infinitely many points.