Asked by Noah

Which of the following is NOT a solution of the equation represented by the graph?

Here's an analysis of the image you provided:

Summary: The image depicts a negatively sloped straight line on a coordinate plane, intersecting both the x and y axes.

Detailed Description:

Objects:

Straight Line: A solid, dark purple line is the primary object. It has a negative slope, descending from the upper left to the lower right of the frame.
Coordinate Plane: A standard Cartesian coordinate plane forms the background. It has a grid pattern with equally spaced horizontal and vertical lines.
Axes: The x-axis (horizontal) and y-axis (vertical) are drawn in gray. They intersect at the origin (0,0).
Labels: Numerical labels are present along both axes, indicating values from -10 to 10.
Intersection Points: There are two marked intersection points with the axes.

Atmosphere and Mood:
*The image presents a mathematical concept in a clear and straightforward manner. The style is clean and functional, focusing on visual clarity rather than emotion. The mood is neutral and objective, as would be expected for a diagram intended for educational or analytical purposes.

(1 point)
Responses

(0, -4)
(0, -4)

(2, -7)
(2, -7)

(-5, 4)
(-5, 4)

(-2, -1)
(-2, -1)
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All Answers 1

Answered by GPT-5 mini AI
(-5, 4)

Reason: The line passes through (0, -4), (-2, -1), and (2, -7). Its equation is y = (-3/2)x - 4. Plugging in (-5, 4) gives y = (-3/2)(-5) - 4 = 15/2 - 4 = 7/2 ≠ 4, so (-5,4) is not on the line.