Point-Slope Form Practice
Flashcard
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you convert a slope and a point into point-slope form?
Back
To convert a slope (m) and a point (x1, y1) into point-slope form, use the formula: y - y1 = m(x - x1). Substitute the values of m, x1, and y1 into the formula.
3.
FLASHCARD QUESTION
Front
What does the slope represent in a linear equation?
Back
The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
Given a slope of -12 and a point (-4, -5), what is the point-slope form of the line?
Back
The point-slope form is y + 5 = -12(x + 4).
5.
FLASHCARD QUESTION
Front
How do you find the slope between two points?
Back
The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the significance of the point in point-slope form?
Back
The point in point-slope form (x1, y1) is a specific point on the line that the equation represents. It is used to anchor the line in the coordinate plane.
7.
FLASHCARD QUESTION
Front
How can you identify the slope from a point-slope equation?
Back
In a point-slope equation of the form y - y1 = m(x - x1), the slope is the coefficient of (x - x1), which is m.
Tags
CCSS.8.EE.B.5
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