Question

What is the rate of change for the linear relationship modeled in the table?


x y
−1 10
1 9
3 8
5 7
negative one over two
0
one over two
2

Answer 1

Answer:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

m=\dfrac{y_2-y_1}{x_2-x_1}m=

x

2

−x

1

y

2

−y

1

Putting the points as (-1, 10) and (1, 9), we get

m=\dfrac{9-10}{1-(-1)}m=

1−(−1)

9−10

=\dfrac{9-10}{1+1}=

1+1

9−10

=\dfrac{-1}{2}=

2

−1

Ra