F(6,2) g(2,4)
write equation in slope intercept form

y = -½x + 5

Step-by-step explanation:

Formula for slope intercept form is y = mx + b

Where m represents the slope and b represents the y intercept

Solving for m

m = (y2 - y1)/(x2-x1)

y2 = 4, y1 = 2

x2 = 2, x1 = 6

m = (4-2)/2-6)

m = 2/(-4)

m = -½

Solving for b

Using point F(6,2) as reference

y = 2, x = 6, m = -½

if y = mx + b

Substituting 2 for y and 6 for x in the above equation

2 = -½ * 6 + b

2 = -3 + b

2 + 3 = b

5 = b

b = 5

OR

Using Point G(2,4) as reference

y = 4, x = 2, m = -½

if y = mx + b

Substituting 4 for y and 2 for x in the above equation

4 = -½*2 + b

4 = - 1 + b

4+1 = b

5 = b

b = 5

Finally, we have to write the equation in slope form

Using y = mx + b

where m = -½ and b =5 (Calculated)

y = -½x + 5