find the midpoint of the segment with the given endpoints:
(-3, -1), (-1, 9)

midpoint = ( , )

Question

find the midpoint of the segment with the given endpoints:
(-3, -1), (-1, 9)

midpoint = ( , )

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Midpoint Formula", "Coordinate Geometry" ], "new_concepts": [], "current_concepts": [ "Midpoint Formula", "Coordinate Geometry" ] } ## Identify the given endpoints $$ (x_1, y_1) = (-3, -1),\quad (x_2, y_2) = (-1, 9) $$ ## Apply the midpoint formula $$ \begin{aligned} x_m &= \frac{x_1 + x_2}{2} = \frac{-3 + (-1)}{2} = \frac{-4}{2} = -2 \ y_m &= \frac{y_1 + y_2}{2} = \frac{-1 + 9}{2} = \frac{8}{2} = 4 \end{aligned} $$ ## State the midpoint coordinates $$ (x_m, y_m) = (-2, 4) $$ Find the midpoint of the segment with the given endpoints: $(-3, -1)$, $(-1, 9)$ Midpoint = ( -2 , 4 ) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Midpoint Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given endpoints

Apply the midpoint formula

State the midpoint coordinates

Answer: