The coordinate plane

In which quadrant is the point $(-3, 5)$?

Reflect the point $(4, -7)$ in the $y$-axis. Where does it land?

What is the distance between $(-6, 3)$ and $(5, 3)$?

A cyclist in a city of square blocks rides from $(-2, -3)$ to $(4, 5)$ along the streets, never doubling back. How many blocks does she ride?

A point $P$ is reflected in the $x$-axis and then the result is reflected in the $y$-axis. It ends up at $(-2, 5)$. Where was $P$?

Kofi was asked to plot $(3, 2)$. He started at the origin, went up 3 and then right 2. Which point did he actually plot?

Which point is exactly halfway between $(-3, 2)$ and $(4, 2)$?

Which statements are true for every point $(a, b)$? (Choose all that apply.)

In the Lean file, reflectX P is the reflection of the point P in the $x$-axis. Which statement says that reflecting twice in the $x$-axis brings every point back?

Write a function quadrant(x, y) that returns 1, 2, 3 or 4 for a point in quadrant I, II, III or IV, and 0 for a point on an axis. It should work for fractions too.