To find the gradient (slope) of the equation \(4x - 2y - 10 = 0\), we can first rearrange it into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.
Starting with the given equation:
\[ 4x - 2y - 10 = 0 \]
We can isolate \(y\) on one side. First, add \(2y\) and \(10\) to both sides:
\[ 4x - 10 = 2y \]
Next, divide everything by \(2\) to solve for \(y\):
\[ y = 2x - 5 \]
Now the equation is in slope-intercept form \(y = mx + b\), where \(m\) is the gradient. From the equation \(y = 2x - 5\), we can see that the gradient is:
\[ \text{Gradient} = 2 \]
So, the gradient of the equation \(4x - 2y - 10 = 0\) is \(2\).
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