State whether the lines are intersecting parallel or coincident. 3x+2y=19 4x-5y=10

We are going to rearange both of these into slope intercept form.

First: 2y = - 3x + 19 - > y = - 1.5x + 9.5

Next: - 5y = - 4x + 10 - > y =.8x - 2

Finally: Because the two slopes are not the same, we know the lines are intersecting.

They are intersecting because if you take the equaton 3x+2