Lines

Question 1

Slope properties

Answer 1

Horizontal line has 0 slope

Vertical line has undefined slope

Parallel lines have same slope

Perpendicular lines have negative reciprocal slope

Question 2

Slope formulas

Answer 2

M = Rise/Run OR y/x OR Tangent

Slope intercept - y=mx + b b - y intercept

Point slope - y-y1 = m(x-x1)

Question 3

Angle of inclination

Answer 3

Angle where x axis is the terminal end.

Question 4

Distance of a line

Answer 4

Question 5

Line midpoint

Answer 5

Question 6

|x| < c OR

|x-a| < k

Answer 6

-c < x < c

x is < k units from a

Question 7

|x| > c OR |x-a| > k

Answer 7

x < -c OR x > c

x is > k units from a

Question 8

h

Answer 8

x₂ - x₁

Length over which change occurs

Question 9

Free fall distance

Answer 9

y = 16t²ft

Question 10

Average rate of change

Answer 10

f(x₂) - f(x₁)

_________

x₂ - x₁

Question 11

Average Speed

Answer 11

Change in distance

Change in time

Question 12

Tangent

Answer 12

Corresponds to instantaneous rate of change

Passes through point P

Perpindicular to radius

Question 13

Secant

Answer 13

Corresponds to average rate of change

Line that joins points on a curve