Step 1:

The curve is $\"\"$ and the line is $\"\"$ .

The curve $\"\"$ intersects the line $\"\"$ .

The line is $\"\"$ .

Solve for y .

Divide each side by 3.

$\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

If $\"\"$ , then $\"\"$ .

Thus, the intersection points are $\"\"$ and $\"\"$ .

Step 2 :

Find the distance between the intersection points.

Let the points are $\"\"$ and $\"\"$ .

Distance between two points : $\"\"$ .

The distance between the two intersection points :

$\"\"$

The distance between the intersection points is $\"\"$ units.