Write 2x+y=5 in slope intercept form

subtract 2x from each side so youre left with y = 5 - 2x

rearrange the left side so it looks like - 2x + 5

combine them y = - 2x + 5

2x+y=5

To put this in slope intercept form, you simply have to get y by itself on the left side of the equation.

2x+y=5

2x+y-2x=5-2x

y=-2x+5

Now, I had to switch the right side around like that, because slope intercept form is y=mx+b

Because you're subtracting 2x from 5, it becomes 5 added to - 2x when it's put in the correct form.

y=-2x+5