4x + 2y = 8 can be restated as 2y = -4x + 8 : y = -2x + 4 The equation is now in the standard form y = mx + c which is the equation of a straight line.
When establishing points to enable a straight line graph to be drawn, try to determine points that are a reasonable distance apart.
Start by taking x = 0 then y = 4
and when y = 0 then x = 2
As the two coordinates for x are closest to one another, choose the third point where x has a value of (say) -2 then y = 8.
The three points are thus (-2, 8) (0, 4) and (2, 0).
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A scatter graph. A line graph need not involve minute changes.
The best way to make a graph is to draw straight axis lines with a ruler and space the points equally. Finally, plot the points. A cleaner, faster method, can be found by using a spreadsheet software, like excell.
Extrapolation.
it is a straight line equation with a slope of 1 and a y intercept of -4