Question

what point is at the following coordinates? (2, -3) g a h b d c

Explanation:

Step1: Recall coordinate system rules

In a coordinate \((x, y)\), \(x\) is horizontal (right positive, left negative), \(y\) is vertical (up positive, down negative). For \((2, -3)\), \(x = 2\) (2 units right of origin), \(y=-3\) (3 units down of origin).

Step2: Analyze each point

• \(G\): Left of origin (negative \(x\)), so not.
• \(A\): Up (positive \(y\)), so not.
• \(B\): On \(y\)-axis (\(x = 0\)), so not.
• \(D\): Check position: \(x\) around 2 - 3, \(y\) around -3 - -4, matches \((2, -3)\) direction (right and down). Wait, re - check: Wait, the options given? Wait, the original options (from the image, the choices are G, A, H, B, D, C? Wait, the user's image shows the question is "What point is at (2, -3)" with options (the circles) and the labels. Wait, maybe I misread. Wait, the coordinates \((2, -3)\): \(x = 2\) (positive, right of origin), \(y=-3\) (negative, below origin). Let's check each point:
• \(G\): \(x\) negative, \(y\) positive. No.
• \(A\): \(x\) near 0, \(y\) positive. No.
• \(B\): \(x = 0\), \(y\) positive. No.
• \(D\): \(x\) around 2 - 3, \(y\) around -3 (since below origin, \(y\) negative). So \(D\) is at \((2, -3)\)? Wait, maybe the options were mislabeled, but from the coordinate analysis, the point with \(x = 2\) (right) and \(y=-3\) (down) is \(D\)? Wait, no, maybe I made a mistake. Wait, the user's image: the \(x\)-axis has origin at (0,0), \(I\) is at (5,0). So \(F\) is at (3,1) maybe. Then \(D\) is at (2, -3)? Wait, the correct point for \((2, -3)\) is \(D\) (assuming the labels). Wait, maybe the original options: the user's image shows the choices as G, A, H, B, D, C. Wait, the correct answer should be \(D\) because \(x = 2\) (positive, right) and \(y=-3\) (negative, down), and \(D\) is in that quadrant (fourth quadrant, \(x\) positive, \(y\) negative).

Answer:

D