Just need a bit of help understanding what exactly i have to do here to work this out.

Rearrage the following equation and hence state the gradient and the y-intercept.

2y = 8x + 10

Do i just go:
y = mx + c
2y = 8x + 10
y = (8x + 10) /2
y = 4x + 5

or do i have to rearrange it so that it is stated in a different way?

Please help.

You have rearranged it perfectly into

y = mx + b form,
just by dividing both sides by two.

m (which is 4) is the slope and b (which is 5) is the y-intercept.

To rearrange the equation 2y = 8x + 10, and express it in the form y = mx + c (where m represents the gradient and c represents the y-intercept), you are on the right track. Here's the step-by-step process:

1. Start with the given equation: 2y = 8x + 10.
2. Divide both sides of the equation by 2 to isolate the variable y: (2y)/2 = (8x + 10)/2.
3. Simplify the equation: y = (8x + 10)/2.
4. Further simplify the right side by dividing each term by 2: y = (8/2)x + (10/2).
5. Simplify the equation: y = 4x + 5.

You have successfully rearranged the equation in the form y = mx + c. Now, you can identify the gradient and the y-intercept.

The gradient (m) is the coefficient of x, which in this case is 4. So, the gradient is 4.

The y-intercept (c) is the value of y when x is equal to 0. From the equation y = 4x + 5, you can see that when x = 0, y is equal to 5. Therefore, the y-intercept is 5.

In summary, after rearranging the equation, you find that the gradient is 4, and the y-intercept is 5.