Question

Will fan + medal.

Do the values in the table represent a linear function? If so, what is the function rule?

x, -2, 0, 2, 4
y, -4, 0, 4, 8

A) The values do not show a linear function.
B) Yes, they show a linear function; y = 1/2x + 4
C) Yes, they show a linear function; y = 2x + 2
D) Yes, they show a linear function; y = 2x

My answer: Either C or D

Please help! Thanks :)

Answer 1

Let me refresh my memory on this and I'll help you in a few minutes

Answer 2

Ok @Fransisco_w

Answer 3

For a group of x and y coordinates to be linear -> \[\frac{ Change In y }{ Change In x }= always constant\]
which we can tell be looking at the numbers an seeing if the change from x and y to next pair are constant -2 -> 0 -4 -> 0 thats one pair 0 -> 2 0 -> So these numbers are linear

Answer 4

hint linear means line think y = mx + b
y varies directly with x
for each x value input there is only one y value output

Answer 5

m is the slope of the line and the same as change in y/change in x as explained by @Fransisco_w above

Answer 6

Now that we now the numbers are linear we can find the slope be taking coordinates (-2,4) and (2,4)
\[\frac{ 4-(-4) }{ 2-(-2) } = \frac{ 8 }{ 4}\]

Answer 7

b is the intercept the value of y when x = 0

Answer 8

Which would the answer be?
A) The values do not show a linear function
B) Yes, they show a linear function; y = 1/2x + 4
C) Yes, they show a linear function; y = 2x + 2
D) Yes, they show a linear function; y = 2x

My answer is D? I am still confused. @Fransisco_w @triciaal