SOLUTION: for the equation, y=-x-4, tell whether its graph passes through the first quadrant. Explain how you know.

Algebra ->  Coordinate-system -> SOLUTION: for the equation, y=-x-4, tell whether its graph passes through the first quadrant. Explain how you know.       Log On


   

Question 730008: for the equation, y=-x-4, tell whether its graph passes through the first quadrant. Explain how you know.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Set equal to zero, then solve for the -coordinate of the -intercept. Note the sign. Set equal to zero, then solve for the -coordinate of the -intercept. Note the sign. If the two signs are positive, then yes, the graph passes through the first quadrant. If they are both negative or zero, then the graph does NOT pass through the first quadrant.

Another way to look at it is to examine the sign on the slope. If positive, then the graph always passes through the first quadrant. If negative, it only passes through the first quadrant if the -coordinate of the -intercept is positive.

Extra credit: Does pass through Quadrant I?

John

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My calculator said it, I believe it, that settles it
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
for the equation, y=-x-4, tell whether its graph passes through the first quadrant. Explain how you know.
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Plot 2 points and draw a line thru them.
See if it does.