To get the equation 5x - 2y = 4 to the slope-intercept form, we will need to solve for y.
5x - 2y = 4
Let's get rid of the 5x on the left-hand side so we will be left with -2y on the left-hand side.
So, how could we go about that? Well, we could subtract 5x from the left-hand side. But for everything we do on one side, we do to the other side.
(5x - 2y) - 5x = 4 - 5x
-2y = 4 - 5x
Now let's get rid of the coefficient of -2 on the y variable.
Divide both sides by -2
-2y / -2 = (4 - 5x) / (-2)
y = 2 - 2.5x
We have it in the slope-intercept form, but let's algebraically manipulate the right-hand side so we have the -2.5x as the first term on the right-hand side.
So, y = -2.5x + 2 would be the answer to your question.