Question

1. Which of the following does not describe slope? A. A line joining points. B. A constant rate of change. C. A proportional relationship D. A measure of change. 2. What is the slope of the line shown in the graph? A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line −2 −1 −1 over 2 1 over 2.

Answer 1

Part 1) A line joining points Option A

Part 2)
`m=-(1)/(2)`

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=(y2-y1)/(x2-x1)`

we have

`A(-2,2)\ B(0,1)`

Substitute the values

`m=(1-2)/(0+2)`

`m=-(1)/(2)`

Answer 2

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