Answer:
The rate of change is 2
What is the Rate of Change?
A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.
Where, rise is the vertical change between two points and run is the horizontal change between two points.
Standard Formula
The standard form for the rate of change of slope, m is given by
Rate of change = Rise/ Run
= Δy / Δx
Therefore, the rate of change of slope =(y2 – y1) / (x2 – x1)
Where
Δ represents the rate of change
(x1, x2) is the X coordinates
(y1, y2) is the Y coordinates
What is meant by slope?
The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.
Can a slope be negative?
A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.
What is the formula for the slope?
The formula to find the slope is
m = (y2 – y1) / (x2 – x1)
Where
(x1, x2) is the X coordinates
(y1, y2) is the Y coordinates
