Answer:
Option B.
The first step is find the slope using the formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]
The rate of change is m=3
Step-by-step explanation:
we know that
The equation of a line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
is the y-intercept
so
The firs step is determine the slope of the linear equation
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-3,1) and (-4,-2)
substitute the given values in the formula
[tex]m=\frac{-2-1}{-4+3}[/tex]
[tex]m=\frac{-3}{-1}[/tex]
[tex]m=3[/tex]
Remember that
In a linear equation the rate of change is a constant and is equal to the slope of the line
so
The rate of change is 3
