Question

How do you find the slope given `2y = 8x − 3`?

Answer 1

The gradient of the line is 4.

Explanation:

Consider the Gradient Form of a linear equation:

`y=mx+c`
Where `m` is the gradient of the slope.
and `c` is the constant term (effectively the `y` intercept)

Let's now rearrange your equation into Gradient Form:

`2y=8x-3`
`y=(8x-3)/2`
`y=4x-3/2`

Therefore, by inspecting the coefficient of `x` (the `m` term), we can see that the gradient of the line is 4.