Y = 4 - X
The graph is a straight line. It goes through the point (Y=4) on the Y-axis, and its slope is -1. That means that for every 1 unit it moves to the right, it drops one unit lower. So it also goes through the points (1,3), (2,2), (3,1), (4,0), etc.
Now you know that the line goes through the points 4 on the Y-axis and also 4 on the X-axis, it's easy to draw the line. Make it as long as you want ... mathematically, it never ends.
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Same way you graph y = -4x - 0.5
The equation y = 4x^2 + 5 is a parabola
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
y equals 4x+1 is a parallel line to y equals 4x.
It is: y = -4x+12