Question

both sides of an equation have linear expressions. the graph of one line has a positive slope. the graph of the other line has a negative slope. what are the possible number of intersections for this system? 0 1 2 infinite done

Explanation:

Step1: Recall linear system properties

Two distinct lines with different slopes (one positive, one negative) cannot be parallel, as parallel lines have identical slopes.

Step2: Determine intersection count

For a system of two non-parallel linear equations in 2D, there is exactly 1 point where the lines cross, since they are not coincident (different slopes rule out infinite intersections, and non-parallel rules out 0 intersections). A pair of straight lines can never intersect at 2 points.

Answer:

1