Coordinate Geometry

Question 1

The Coordinate Plane

Answer 1

Question 2

Slope of Line

Answer 2

Question 3

The Slope-Intercept Equation

Answer 3

y = mx + b

where:
- y = the y-coordinate
- x = the corresponding x-coordinate
- m = the slope of the line
- b = the y-intercept of the line

Question 4

Positive Slope

Answer 4

Question 5

Negative Slope

Answer 5

Question 6

Zero Slope

Answer 6

Question 7

Undefined Slope

Answer 7

Question 8

Parallel Lines

Answer 8

Parallel lines have the same slope but different y-intercept, and as a result, the lines will never intersect

Question 9

Perpendicular Lines

Answer 9

The slopes of two perpendicular lines are negative reciprocals; negative reciprocals multiply to -1.

Question 10

Reflections

Answer 10

Reflection over the x-axis
(x,y) -> (x,-y)
Reflection over the y-axis
(x,y) -> (-x,y)
Reflection over the origin
(x,y) -> (-x,-y)

Question 11

The Distance Formula

Answer 11

Question 12

Midpoint Formula

Answer 12