Slope intercept term has only a y on the left, followed
by an equal sign. The first term on the right is a number
multiplied by x. The second and last term on the right is
just a number.
4x+y = 8
Subtract 4x from both sides
y = 8-4x
Reverse the term on the right:
y = -4x+8
That's it! Now you compare that to
y = mx+b
and you see that m=-4 and b=8
That means that the slope is -4 and the y-intercept
is the point (0,8) and that the graph of the equation
is this line:
Notice that it passes through (0,8) and it falls 4 units
of y, for every unit of x that you go to the right.
Edwin
