RISE OVER RUN FORMULA

What is slope ?

The slope of a line is a measure of its steepness.

How we find slope of the line ?

Positive Negative Zero Undefined Slope :

Always we should observe the graph from left to right.

Raising Line The line is going up. it has positive slope. m > 0	Falling Line The line is coming down. it has negative slope. m < 0
Horizontal line it has zero slope. m = 0	Vertical line It has undefined slope m = undefined

For the following graphs, find the slopes by :

(i) Considering horizontal and vertical steps

(ii)  Using the slope formula

Problem 1 :

Solution :

i) For the above line,

Horizontal step (Run) = 3

Vertical step (Rise) = 4

ii) Gradient formula

Slope m = Rise / Run

m = 4/3

Problem 2 :

Solution :

i) For the above line,

Horizontal step (Run) = 6

Vertical step (Rise) = -5

ii) Gradient formula

Slope m = Rise / Run

m = -5/6

Problem 3 : 

Solution :

i) For the above line,

Horizontal step (Run) = 3

Vertical step (Rise) = -4

ii) Slope m = Rise / Run

m = -4/3

Problem 4 :

Solution :

i) The line is a horizontal line.

 For the above line,

Horizontal step (Run) = 5

Vertical step (Rise) = 0

ii) Slope m = Rise / Run

m = 0/5

m = 0

Slope = Undefined

The slope of a horizontal line is always zero.