A coordinate plane shows a graph of an upward-sloping, diagonal, dashed line, with shading extending from the line to the left. The line starts in quadrant 3, extends through quadrant 4, and ends in quadrant 1.
Is the point (12,−112)
a solution to the inequality y>45x−3
, as shown on the graph? Enter 1 for yes or 2 for no.
(1 point)
Remaining Attempts : 3
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1 answer
To determine if the point (12, -112) is a solution to the inequality \( y > 45x - 3 \), we first need to evaluate the expression \( 45x - 3 \) at \( x = 12 \).
Calculating \( 45 \times 12 - 3 \): \[ 45 \times 12 = 540 \] \[ 540 - 3 = 537 \]
Now, we check if \( -112 > 537 \): This is false because \( -112 \) is less than \( 537 \).
Since the point does not satisfy the inequality \( y > 45x - 3 \), the answer is:
2 (no).
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