Chapter 10- Gradient of a Straight Line

Chapter 10- Gradient of a Straight Line

10.1 Gradient

10.1.1 Steepness and inclination area

Describe gradient and direction of inclination based on real life situations, and then explain the meaning of gradient as a ratio of vertical distance to horizontal distance

Gradient

• Gradient is the degree of steepness

• Gradient is normally connected with the height of a mountain

• But did you know every object that has a slope(inclination) has a gradient

  
  

Multiple Choice

tp1

Which ladder is more inclined?

• PQ

• RS

Multiple Choice

tp1

What possible value for angles a and b

• a= 30^o

  b = 50^o

• a = 50^o

  b = 30^o

Fill in the Blanks

tp2

Determine the gradient of PQ

Fill in the Blanks

tp2

Determine the gradient of PQ

10.1.2 Formula of gradient of a straight line on a cartesian plane

Derive the formulae for gradient of a straight line in the cartesian plane

Fill in the Blanks

tp3

Calculate the gradient, m for the straight line that passes through P(-8,4) and Q(-6,-10)

Fill in the Blanks

tp3

Calculate the gradient, m for the straight line that passes through P(4,0) and Q(0,12)

Fill in the Blanks

tp3

Find the gradient, m

Fill in the Blanks

tp3

Calculate the gradient, m for the straight line that passes through P(5,-10) and Q(8,-1)

Fill in the Blanks

tp3

Calculate the gradient, m for the straight line that passes through P(0,8) and Q(10,0)