Question

Write the equation for the line in slope-intercept form from the table below.

x

1

2

3

4

5
y

1

-8

-17

-26

-35

Answer 1

Slope intercept form is y=mx+b

Answer 2

and if you look at the pattern the outputs are going down by 9: 1-9=8, -8-9=-17 etc. so the slope is -9 or m=-9

Answer 3

then the y-intercept is the output of 0 to do that you add 9 to the 1 and you find out that the output of 0 is 10 meaning the slope intercept form of your table is: y=-9x+10

Answer 4

and the table is now:
(0,10) (1,1) (2,-8) (3,-17) (4,-26) (5,-35)