Unit 4 Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to find the midpoint of a line segment connecting two points (x1, y1) and (x2, y2)?
Back
The midpoint M is given by M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
2.
FLASHCARD QUESTION
Front
Given points A(-2, 7) and B(6, -5), what is the midpoint?
Back
M = \left(\frac{-2 + 6}{2}, \frac{7 - 5}{2}\right) = \left(2, 1\right).
3.
FLASHCARD QUESTION
Front
If the midpoint M(4, 3) and one endpoint G(5, -6) are known, how do you find the other endpoint H(x, y)?
Back
Use the formula: M = \left(\frac{x + 5}{2}, \frac{y - 6}{2}\right). Solve for x and y.
4.
FLASHCARD QUESTION
Front
What is the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope m is calculated as m = \frac{y_2 - y_1}{x_2 - x_1}.
5.
FLASHCARD QUESTION
Front
Find the slope of the line through points (1, 2) and (3, 6).
Back
m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2.
6.
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.
7.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
The equation is given by y = mx + b, where m is the slope and b is the y-intercept.
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