
Practice Test - Writing Equations of Circles & Lines
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Medium
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a circle's equation?
Back
The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you find the radius of a circle from its equation?
Back
To find the radius from the equation (x - h)² + (y - k)² = r², take the square root of r².
3.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a line?
Back
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is the equation of a line with slope 3/4 passing through the point (4, -2)?
Back
The equation is y = (3/4)x - 5.
6.
FLASHCARD QUESTION
Front
What is the formula to convert a quadratic equation to standard form?
Back
To convert to standard form, complete the square for the quadratic terms.
7.
FLASHCARD QUESTION
Front
What does the term 'standard form' mean in the context of a circle's equation?
Back
Standard form means the equation is expressed as (x - h)² + (y - k)² = r².
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