Xavier is attempting to recreate a problem his teacher showed him in class. to do so, he creates the table below. x y 1 3 2 ? he remembers that the slope of the line through the ordered pairs in the table was 4. what is the missing y-value in the table? 5 7 8 12

The equation for a straight line is of the form
y = mx + c
where
m = the slope
c = the y-intercept

The given line has slope m = 4.
Therefore its equation will be of the form
y = 4x + c

From the given table, y(1) = 3. That is, when x=1, then y=3.
Fron the equation, obtain
3 = 4*1 + c
3 - 4 = c
c = -1.

Therefore the equation for the line is
y = 4x - 1.

We want to find the missing value of y when x=2.
When x = 2, obtain
y = 4*2 - 1  = 7

 7

The answer to this would be B