Question

Which equations have graphs that include the point (2, 6.5)? select all that apply.

a. y = 3 x + 0.5
b. y = 4 x - 0.5
c. y = 5 x - 3.5
d. y =12x + 6
e. y =14x + 6?

Answer 1

a. y = 3 x + 0.5, if x = 2 then y = 3 (2) + 0.5 = 6.5 (TRUE)

b. y = 4 x - 0.5, if x = 2 then y = 4 (2) - 0.5 = 7.5 (FALSE)

c. y = 5 x - 3.5, if x = 2 then y = 5 (2) - 3.5 = 6.5 (TRUE)

Do you mean 1/2? If so then:
d. y =1/2 x + 6, if x = 2 then y = 1/2 (2) + 6 = 7 (FALSE)

Do you mean 1/4? If so then:
e. y =1/4 x + 6, if x = 2 then y = 1/4 (2) + 6 = 6.5 (TRUE)

answers:
a. y = 3 x + 0.5
c. y = 5 x - 3.5
e. y =1/4 x + 6