Question

Zefram analyzed a linear relationship, found that the slope-intercept equation was

y = 3.5x + 16
, and
made a prediction for the value of
y
for a given value of
x.
He realized that he made an error calculating
the y-intercept and that it was actually 12. Can he just subtract 4 from his prediction if he knows that the
slope is correct? Explain.

Help!! For tomorrrow!!

Answer 1

Yes, if the slope is correct, he can just subtract 4 from his answer.

For example, let's use 10 for x. In the equation he originally had, we would have
y=3.5(10)+16=35+16=51

In the actual equation, we would have
y=3.5(10)+12=35+12=47

Taking 51-4 would give us the same result.