Midpoint and Distance

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Midpoint Formula?
Back
The Midpoint Formula is used to find the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2). It is given by: M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
2.
FLASHCARD QUESTION
Front
How do you find the distance between two points (x1, y1) and (x2, y2)?
Back
The Distance Formula is used to find the distance d between two points and is given by: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.
3.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they have the same slope and will never intersect.
4.
FLASHCARD QUESTION
Front
Write the equation of a line parallel to y = 2x + 3 that passes through the point (1, 4).
Back
The equation is y = 2x + 2.
5.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = (-3/5)x - 3?
Back
The slope of the line is -3/5.
6.
FLASHCARD QUESTION
Front
Find the midpoint of the points (3, 9) and (-1, -5).
Back
The midpoint is (1, 2).
7.
FLASHCARD QUESTION
Front
Calculate the distance between the points (3, 7) and (-5, -8).
Back
The distance is 17.
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