Write the equation of any line parallel to 3x − y = 2. Then write the equation of a parabola that intersects your line but does not intersect the graph of 3x − y = 0. Homework Help ✎
Start by converting 3x − y = 2 to slope-intercept form.
Any line with the same slope will be parallel.
Any downward-opening parabola with a vertex below the line 3x − y = 0 and above 3x − y = 2 will work.
One possible parabola is y = −x2 − 2.