Question

Which equation describes the relation indicated by the table?

X= -2,0,1 y=-6,2,6

a. y=4x+2
b. y = 2x + 4
c. y= 2x-2
d. y= x-4

Answer 1

The answer would be: a. y=4x+2

In this question, the table is made from an equation that follows y=ax+b. To find the equation, it would be easier to use x=0 so you can exclude the a value and find the value of b. From the description, you can find that x=0 will result in y=2. Then if you put it into the equation:

y=ax+b
2=a(0)+b
b=2

Now we need to find the value of a. You can do this by inserting any value of x and y beside x=0. Let's try to use x=-2 and y=-6
y=ax+b
-6 =a(-2)+2
-6= -2a+2
-2a= -6-2
-2a=-8
a= -8/-2=4

The equation would be:
y=4x+2