Video: Finding the Slope of a Linear Function

What is the slope of the function 2𝑦 = 4π‘₯ βˆ’ 1?

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Video Transcript

What is the slope of the function two 𝑦 equals four π‘₯ minus one?

In order to calculate the slope of any linear function, we need to rewrite the equation in the form 𝑦 equals π‘šπ‘₯ plus 𝑐, where our π‘š value, the coefficient of π‘₯, is the slope or the gradient. In order to rewrite two 𝑦 equals four π‘₯ minus one in the form 𝑦 equals π‘šπ‘₯ plus 𝑐, we need to divide each of the terms by two. Two 𝑦 divided by two is equal to 𝑦. 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 𝑦 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 𝑦 equals four π‘₯ minus one is two. This is a positive slope going upwards from left to right.

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