Question

PLEASE HELP!!!

1) Write the equation of the line that passes through points (3,6) and (5,18) using function notation.

f(x)=2x+12
f(x)=6x-12
y=2x+12
y=6x-12

2) Choose the equation of the horizontal line that passes through the point (2,4).

y=2
x=2
y=4
x=4

Answer 1

1)
y = ax+b

6 = 3a + b
18 = 5a + b

b = 6 - 3a
18 = 5a + 6 - 3a

2a = 12
a = 6
b = 6 - 18
b = -12

f(x) = 6x -12

2)
y = 2
No, because y ≠ 4

x = 2
No, because it's vertical

y = 4
Yes, because x ∈ ℝ and y = 4

x = 4
No, because it's verical