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Mathematics

2 answers:

Mars2501 [29]2 years ago

8 0

This is simple. :)
All you have to do is plug in each of the coordinates.
So, for the first one, you would take the first option (-2,-9). The equation would look like this: -9=3(-2). -2*3 doesn't equal -9, so you move on to the other options, testing them out.

The second question is the same. For example, you take (2,14), plug it into the equation to make it look like this: 14=-5(2)+4
-5*2=-10
-10+4=-6
So the first option is not correct.

I hope this helps

Nata [24]2 years ago

5 0

-30=3 times -10
-21= -5 times 5 +4

You might be interested in

what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them

vfiekz [6]

9514 1404 393

Answer:

linear: slope between any two points is the same
non-linear: slope between two points may differ

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

Detailed Example

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

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

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.