Find the equation of the linear function represented by the table below in slope- intercept form.
х
у
-1
o
3
-4
7
-8
11
-12

Answer-

y = -1x or y = -x

Explanation-

Step 1: Look for a pattern in the x column and the y column.

X = -1, 3, 7, 11
(The pattern is that you add 4 with every number)

Y= 0, -4, -8, -12
(The pattern is that you subtract 4 with every number)

Step 2: Create and (if needed) simplify the slope

Slope = y/x

Slope -> -4/4

Simplified Slope -> -1

Step 3: Put it in slope-intercept form

Slope-intercept form -> y = mx + b

y = -1x + 0 -> y = -1x or y = -x