The data in the table illustrate a linear function. What is the slope of the linear function.

Question

x |0|2|4|6|
y|-5|-2|1|4|
Thank you

Answer 1

change in x: 2
change in y: 3

y = 3/2 x - 5

Answer 2

is 3/2 negative or positive

Answer 3

positive- it goes from bottom left to upper right.

Answer 4

Steve is right

Answer 5

The data in the table illustrate a linear function. What is the slope of the linear function.
x |-3|0|3|6|
y|-5|-3|-1|1|
show your work

Answer 6

To find the slope of a linear function from a table, we need to calculate the change in y divided by the change in x.

- The change in y is the difference between any two y-values. Let's choose the first two:
- Change in y = y₂ - y₁ = (-3) - (-5) = 2
- The change in x is the difference between the corresponding x-values:
- Change in x = x₂ - x₁ = 0 - (-3) = 3

Now we can use the slope formula:

slope = change in y / change in x = 2 / 3

So the slope of the linear function is 2/3.