First, we will need to translate the given wording into a mathematical equation and then get the y-intercept from the formula.
We are given that, the y value is 6 less than 4 times the corresponding x.
This means that:
y = 4x - 6
Now, the general formula of any linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
Comparing the general formula to the equation we have, we will find that:
slope (m) = 4
y-intercept (c) = -6