What are the intercepts for the line -4x y 8?

Answer 1

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Restate the question: What are the intercepts of the line -4x + y = 8?

To find the y-intercept, let x=0: -4(0)+y=8 <=> y=8

To find the x-intercept, let y=0: -4x+(0)=8 <=> -4x=8 <=> -4x/(-4)=8/(-4) <=> x=-2

With a little practice, and if the numbers are 'nice', you can almost do this by just looking at the equation, or you can think of (0,_),(_,0). My students call this "googly eyes"!

Also note that most texts define an intercept as a number ("the y-intercept is 8"), but it is rare to consider "The y-intercept is (0,8)." to be correct.