Question

Find the gradient of the equation 4x - 2y - 10= 0

Answer 1

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 \(2\).