Linear Equations: Slope-Intercept & Point-Slope

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope represents the rate of change of y with respect to x; it indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is point-slope form of a linear equation?
Back
The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
5.
FLASHCARD QUESTION
Front
How do you convert from point-slope form to slope-intercept form?
Back
To convert, solve for y: y = mx + (y1 - mx1).
6.
FLASHCARD QUESTION
Front
What information do you need to write an equation in point-slope form?
Back
You need a slope (m) and a point (x1, y1) on the line.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does that indicate about the line?
Back
A slope of 0 indicates that the line is horizontal.
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