Coordinate Geometry (Foundations)

Core skills for this exam family.

Phase 2 · ACT Math

Coordinate Geometry: core idea

y=mx+b

Find the slope through $(1,2)$ and $(5,10)$ .

Hint: Rise divided by run. Answer: 2.

1. What is the midpoint of $(2,3)$ and $(8,7)$ ?
2. Find the distance from $(0,0)$ to $(3,4)$ .
3. What is the $x$ -coordinate of the point $(7,-2)$ ?
4. A line has slope $-1$ and passes through $(0,6)$ . Write its equation.
5. Reflect $(4,-3)$ across the $x$ -axis.
6. Translate $(1,5)$ by $(3,-2)$ .
7. Which quadrant contains $(-4,9)$ ?
8. Find the $y$ -intercept of $2x+y=11$ .
9. The point $(6,8)$ is how far from the $x$ -axis?