Gradient Visual Method
Gradient Formula
Graphing Basic
100
What is the correct method for determining the gradient/slope of a linear relationships
A. Run / Rise
B Rise / Run
B. Rise / Run
100
What is the correct gradient formula?
A. [ x2 - x1 ] / [ y2 - y1 ]
B. [ y2 - y1 ] / [ x2 - x1 ]
B. [ y2 - y1 ] / [ x2 - x1 ]
100
what is the vertical axis called?
the y-axis
200
Find the gradient of graph
Rise = 4 & Run = 2
Gradient = 2
200
Which part of the gradient formula represents the rise?
A. [ x2 - x1 ]
B. [ y2 - y1 ]
B. [ y2 - y1 ]
200
What is the horizontal axis called?
X- Axis
300
What is the gradient of graph?
Rise = 6 & Run = 3
Gradient/Slope = 6/3 = 2
300
What is the gradient of a line that goes through the points (0,0) and (2, 3)?
m=3/2
300
When we read (a,b) a refers to the _________ axis and b refers to the ___________ axis
x axis
y axis
400
What is the gradient of graph?
m=-4/5
400
What is the gradient of a line that goes through the points (3, 2) and (-6, 7)?
m= -5/9
400
How does a negative value for the gradient affect the appearance of the line when graphed?
A negative gradient means the graph falls towards the right.
500
Jack’s bank balance increases by $90 over a period of 3 months. If you were to graph his bank balance over time, what would be the gradient (slope) of the graph, and what does this gradient represent in this context?
The gradient (slope) is 30. This means Jack’s bank balance increases by $30 per month.
500
What is the gradient of a line that goes through the points (-1, -4) and (-8, -2)?
m=-2/7
500
What is another way to describe the slope (or gradient) when referring to real-life linear relationships, such as water leaking out of a bucket or monthly savings? Explain what the slope represents in these contexts.
The slope (gradient) in real-life linear relationships is as the rate of change.
- e.g the rate at which water is lost over time (litres per minute).
- e.g the amount of money saved each month (dollars per month).