What is the slope of the function two 𝑦 equals four 𝑥 minus one?
In order to calculate the slope of any linear function, we need to rewrite the equation in the form 𝑦 equals 𝑚𝑥 plus 𝑐, where our 𝑚 value, the coefficient of 𝑥, is the slope or the gradient. In order to rewrite two 𝑦 equals four 𝑥 minus one in the form 𝑦 equals 𝑚𝑥 plus 𝑐, we need to divide each of the terms by two. Two 𝑦 divided by two is equal to 𝑦. Four 𝑥 divided by two is two 𝑥. And negative one divided by two is equal to negative a half.
This means that the equation can be rewritten as 𝑦 equals two 𝑥 minus a half. The coefficient of 𝑥, the number in front of it, is two. Therefore, the slope of the function two 𝑦 equals four 𝑥 minus one is two. This is a positive slope going upwards from left to right.