QQuestionMathematics
QuestionMathematics
"Find the distance between point A and point B.
A coordinate plane is shown with:
Point A located at (−4,−3)
Point B located at (−4,4)
A. 5 units
B. 6 units
C. 7 units
D. 8 units"
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Answer
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Step 1:I'll solve this step-by-step using the distance formula and precise LaTeX formatting:
Step 2:: Identify the coordinates
• Point A: $$(-4, -3)
• Point B: (- 4, 4)
Step 3:: Recall the distance formula
d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}
The distance formula is derived from the Pythagorean theorem:
Step 4:: Calculate the horizontal distance (x-coordinates)
• Horizontal distance = $$|-4 - (-4)| = |0| = 0
Step 5:: Calculate the vertical distance (y-coordinates)
• Vertical distance = $$|4 - (-3)| = |4 + 3| = |7| = 7
Step 6:: Apply the distance formula
d = 7
d = \sqrt{0 + 49}
Final Answer
C. 7 units
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