Question

Question #14ca3

Answer 1

`d^2=5/9x^2+52/9x+169/9`

Explanation:

For any `x`, the Cartesian coordinates of the point on the equation `y=2/3x+13/3`
would be `(x,2/3x+13/3)`

The square of the distance from the origin, `(0,0)`,
using the Pythagorean Theorem, would be
`color(white)("XXX")d^2=(x-0)^2+(2/3x+13/3-0)^2`

`color(white)("XXX")=x^2-(4/9)x^2+52/9x+169/9`

`color(white)("XXX")=5/9x^2+52/9x+169/9`