CPM Homework Help : A2C Problem 8-70

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 $3x − y = 0$ .

Hint:

Start by converting $3x − y = 2$ to slope-intercept form.

Answer:

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 $y = −x^{2} − 2$ .