### Home > A2C > Chapter 8 > Lesson 8.1.4 > Problem8-70

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 $3x − y = 0$.

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 $y = −x^{2} − 2$.