Write the equation (slope intercept form) represented by the function table shown

To find slope intercept form, the formula is y=mx+b.
To find the slope, which is m, the formula is (y2 - y1) / (x2 - x1)
y2=-26
y1=-20
x2=7
x1=5

(-26--20)/(7-5)
the slope is -3

now, to find the y intercept, solve for b.
y=-3x+b

Step 1: Flip the equation.

b−3x=y
Step 2: Add 3x to both sides.

b−3x+3x=y+3xb=3x+y

use your coordinates from the table.
b=3(5)-20
b=-5
so, y=-3x-5

Y=-3x-5

x moves by -3, -3*5=-15
20-15=-5 (y intercept)