Question

Write the rule for the table, use x for the input.
Input Output
-1,0,1,2,3,4 1,9,17,25,33,41

Answer 1

Step-by-step explanation:

so you take the numbers and put them in order from least to greatest. so it would be negative -1, 0, 1, 1, 2, 3, 4, 9, 17, 25, 33, 41 .

Answer 2

y=8x+9

You basically are looking for the equation in slope intercept form. First you know that the y intercept is 9 because you have the pair (0,9). Next you need to find the slope which is what you will multiply all the x values by. To do this you do y2-y1/x2-x1. I chose the points (0,9) and (1,17). You do 17-9/1-0. This gives you the slope which is 8. Now that you have the equation you know that you multiply x by 8 then add 9. To check that the equation is accurate you plug in the x and y values and see if they equal each other.

17-9= 8
1-0= 1
8/1=8
Y=8x+9

(2,25)
25=8(2)+9
25=16+9
25=25