Question

A. y-4=1/4(x-4)

b. y-12=1/4(x-6)
c. y-12=4(x-6)
d. y-6=4(x-12)
e. y-4=4(x-4)
f. y-6=1/4(x-12)

Answer 1

f. y-6 = 1/4(x-12)

Explanation:

the slope eliminates some options right away :

slope = y/x = 1/4, because x has to increase by 8 units for y to increase by 2 unit (or then simplified 4 units for 1).

so, we only need to look at equations with 1/4 as factor of x.

a. covers (12,6) but not (4,4) - wrong

b. covers none of the 2 points - wrong

c., d., e. have the wrong slope

f. is right. for x=12 y is then 6. for x=4 y is then also 4. correct !