Point-Slope Form
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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 - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you identify the slope from a point-slope equation?
Back
In the point-slope form y - y_1 = m(x - x_1), the slope m is the coefficient of (x - x_1).
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.
4.
FLASHCARD QUESTION
Front
How can you convert a point-slope equation to slope-intercept form?
Back
To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.
5.
FLASHCARD QUESTION
Front
What is the significance of the point (x_1, y_1) in the point-slope form?
Back
The point (x_1, y_1) is a specific point on the line, which is used as a reference to define the line's slope.
6.
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.
7.
FLASHCARD QUESTION
Front
What is the slope of a line that is vertical?
Back
The slope of a vertical line is undefined.
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