1) A
A slope, or gradient, is used to define a rate of change or proportional relationship
2) Using the given points, the slope can be calculated:
slope = (y₂ - y₁)/(x₂ -x₁)
= (1 - 2)/(0 - (-2))
= -1/2
Answer:
Part 1) A line joining points Option A
Part 2) \(m=-\frac{1}{2}\)
Step-by-step explanation:
Part 1)
we know that
case A) A line joining points -------> does not describe slope
case B) A constant rate of change-----> is used to describe slope
case C) A proportional relationship -----> is used to describe slope
case D) A measure of change -----> is used to describe slope
Part 2) we know that
The formula to calculate the slope between two points is equal to
\(m=\frac{y2-y1}{x2-x1}\)
we have
\(A(-2,2)\ B(0,1)\)
Substitute the values
\(m=\frac{1-2}{0+2}\)
\(m=-\frac{1}{2}\)