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

1 Answer
Apr 10, 2016

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.