The data in the table illustrate a linear function. What is the slope of the linear function.
x |0|2|4|6|
y|-5|-2|1|4|
Thank you
change in x: 2
change in y: 3
y = 3/2 x - 5
positive- it goes from bottom left to upper right.
is 3/2 negative or positive
Steve is right
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
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.
To determine the slope of the linear function, you can use the formula:
slope = (change in y) / (change in x)
In this case, you have the following values for x and y:
x: 0, 2, 4, 6
y: -5, -2, 1, 4
To find the change in y, you subtract the initial y-value from the final y-value:
change in y = final y-value - initial y-value
So, for this data:
change in y = 4 - (-5) = 9
To find the change in x, you subtract the initial x-value from the final x-value:
change in x = final x-value - initial x-value
So, for this data:
change in x = 6 - 0 = 6
Now, you can calculate the slope:
slope = (change in y) / (change in x) = 9 / 6 = 1.5
Therefore, the slope of the linear function is 1.5.