### Video Transcript

What is the slope of the function two π¦ equals four π₯ minus one?

In order to calculate the slope of any linear function, we need to rewrite the equation in the form π¦ equals ππ₯ plus π, where our π value, the coefficient of π₯, is the slope or the gradient. In order to rewrite two π¦ equals four π₯ minus one in the form π¦ equals ππ₯ plus π, we need to divide each of the terms by two. Two π¦ divided by two is equal to π¦. Four π₯ divided by two is two π₯. And negative one divided by two is equal to negative a half.

This means that the equation can be rewritten as π¦ equals two π₯ minus a half. The coefficient of π₯, the number in front of it, is two. Therefore, the slope of the function two π¦ equals four π₯ minus one is two. This is a positive slope going upwards from left to right.