Answer:
C. 12x + 6y = 30
Step-by-step explanation:
A. x 3 4 5
y 3 6 9
We need to make and equation
slope = (y2-y1)/(x2-x1)
= (9-3)/(5-3)
6/2
3
The slope is 3
Using point slope form
y-y1 = m(x-x1)
y-3 = 3(x-3)
Distribute
y-3 = 3x-9
Add 3 to each side
y = 3x-9+3
y = 3x-6
Let x=0
y = 0-6
y = -6
B. y = 4x – 7
Let x = 0
y = 0-7
y = -7
C. 12x + 6y = 30
Let x = 0
12(0) + 6 y = 30
6y = 30
Divide by 6
6y/6 = 30/6
y =5
D. A linear function that goes through point 1, negative 1 and point 0, 4
The point ((0,4) says when x=0 y=4
y =4
y=5 is the max so the answer is C
