1. Warm-up
1. a = 6, b = 8, c = ? 2.
3. Determine if 5, 8, 10 could be the sides of a right triangle.
4. Find the distance between (4,7) and (7, 11). 20 12 x

2. CCGPS Coordinate Algebra
UNIT QUESTION: How do we use algebraic methods with geometry to solve problems involving location and distance?
Standard: MM1G1
Today’s Question:
How do I find the distance between a point and a line?
Standard: MM1G1.b.

3. Distance between a point and a line
Find the slope of the line if not given.
Find the perpendicular slope. (flip it and change the sign)
Use this slope to count squares from the original point to the line.
Use the distance formula between the original point and the new point from step 3.

4. Example #1 Slope = Perp. Slope = 1/2 -2/1
Now, find the distance between the two points.
2√5

5. Example #2
Slope =
Perp. Slope =
-3/2
2/3
2√13

6. SEARCH & RESCUE CHALLENGE
Find the shortest distance to the shore.
y = (2/5)x - 5
√29