Question

Use the image to answer the question.

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)

Answer 1

To determine if the point (12, -112) is a solution to the inequality y > 45x - 3, we can substitute the x-coordinate into the inequality and see if the resulting value is less than -112.

1. Substitute x = 12 into the equation y = 45x - 3:
y = 45(12) - 3
y = 540 - 3
y = 537

2. Now compare the value we found (537) with the y-coordinate of the point (-112):
We have -112 < 537.

Since -112 is less than 537, the point (12, -112) does not satisfy the inequality y > 45x - 3.

Therefore, the answer is 2 (no).