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

8-70.

Write the equation of any line parallel to 3*x* − *y* = 2. Then write the equation of a parabola that intersects your line but does *not* intersect the graph of 3*x* − *y* = 0. Homework Help ✎

Start by converting 3*x* − *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 3*x* − *y* = 0 and above 3*x* − *y* = 2 will work.

One possible parabola is *y* = −*x*^{2} − 2.