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

1 Answer
Logan
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.

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