Answer:
- x → ∞, y → ∞
- x → -∞, y → -∞
Explanation:
You want the end behavior of the graphed line.
End behavior
The end behavior of a graphed function is found by looking at the arrows on the ends of the graph. If the arrow points in a direction with positive slope, the sign of the function value (y) will match the sign of the independent variable (x).
If the arrow has negative slope, then the signs of the end behaviors will be opposite.
If the arrow points horizontally or vertically, then the end behavior will be an asymptote. The function value will approach the value of a horizontal asymptote. The function value will tend to infinity (up: +∞; down: -∞) as the independent variable approaches the location of the vertical asymptote.
Application
Here, the line has positive slope everywhere, so the sign of y will match the sign of x as both go to ±∞.
- x → ∞, y → ∞
- x → -∞, y → -∞
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Additional comment
Slope is positive if the sign of the "rise" matches the sign of the "run". A line that goes down to the left has positive slope, just as does a line that goes up to the right. (Right and up are positive directions.)