Question

PLEASE HELP ME!!

Which statement best explains whether the table represents a linear or nonlinear function?

Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change in both the input and output values.
It is a linear function because the input values are decreasing.
It is a nonlinear function because the input values are increasing.

Answer 1

@Frostbite

Answer 2

ill help u

Answer 3

ok thank you so much which one do you think it is

Answer 4

what is this on a test or something

Answer 5

???

Answer 6

A linear equation is, basically, a line. An example is y=2x+3. They are commonly found in the form y=mx+b where m is the slope, and b is the y-intercept (where the line crosses the y-axis). A non-linear equation can be many things. Parabolas and exponential equations are not linear.

Answer 7

sorry its this

Answer 8

You can either graph the points and if you get a straight line it is linear, if it deviates at all from a straight line it is non-linear

Answer 9

A linear function has a constant slope hence the equation y = mx + b, m and b are constants

where m is the slope and b is the y-intercept. A non-linear function has a slope that changes (is not constant).

The only condition for a function to be linear is that it has to have a constant slope it doesnt matter if the slope is negative or positive as long as it is constant (not changing).

You can use the formula,

\[slope\ = m\ =\frac{y_2 - y_1}{x_2 - x_1}\]
you would have to systematically check in between each two point, if you get the same number out each time you have a linear equation

Answer 10

Another option is just to try to construct a linear equation out of two of the points by using the equation above to find the slope between two point.
Then use slope in the formula y = mx + b sub one of the points in used to determine the slope and determine b.

Then lastely plug in all x values given to see if you get the same y values out

Answer 11

If you had a table like this

X | Y
1 | 2
3 | 4
5 | 3

a point is denoted as (x, y)

use the slope formula with points (1,2) and (3,4)

m = (4 - 2)/(3 - 1) = 2/2 = 1

thus we plug it into y=mx + b, we get

y = 1*x + b

now to find b we use (1,2) or we could use (3,4)

2 = 1*1 + b
b = 2 - 1
b= 1

therefore the y intercept is 1

so we have the equation

y = x + 1

now we test other points (5, 3), so we plug 5 into x to see if we get 3 out as a y value if we dont then the equation is non-linear

y = 5 + 1
y = 6

thus the equation is not linear because 6 does not equal 3

Answer 12

If you get a different slope or the equation you set up fails to predict a y value in your table then it is non-linear.