Question

ERROR ANALYSIS: Student A says there is no solution to the graphed system of equations. Student B says there is one solution. Which student is correct? Why?

Answer 1

Then, to solve the exercise, we need to know the slope of each line. The slope of a line is the measure of the steepness of a line.

The graph shows that the red line has a greater steepness than the blue line. Thus, the lines have different slopes. Also, two lines are parallel if they have the same slope. Since these lines have different slopes, they are not parallel.

Therefore, student B is correct because the lines are not parallel, so they will intersect.