Is the relationship shown by the data linear? If so , model the data with an equation.

The data is linear.

The equation in slope intercept form is y = (-5/4)x - 53/4

The equation in standard form is 5x+4y = -53

Explanation:

We know the data is linear because each time x increases by 4, the value of y decreases by 5. The slope is m = (change in y)/(change in x) = -5/4

Use m = -5/4 and one row of x,y values (say x = -9 and y = -2 from the first row) to find the value of b

y = mx+b

-2 = (-5/4)(-9) + b

-2 = 45/4 + b

45/4+b = -2

b = -2 - 45/4

b = -8/4 - 45/4

b = (-8 - 45)/4

b = -53/4

Therefore we go from y = mx+b to y = (-5/4)x - 53/4

We can convert to standard form like so

y = (-5/4)x - 53/4

4y = -5x - 53 ... multiply every term by 4

5x+4y = -53 ... add 5x to both sides

To check the answer, plug in x = -9 and you should get y = -2 as a result

y = (-5/4)x - 53/4

y = (-5/4)*(-9) - 53/4

y = 45/4 - 53/4

y = (45-53)/4

y = -8/4

y = -2

We have confirmed the first row of the table. The other rows will be handled the same way.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

y=x+9

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step-by-step explanation: