Point-Slope Form

Flashcard
•
Mathematics
•
8th - 9th Grade
•
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 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 identify the slope from a point-slope equation?
Back
In the point-slope equation y - y1 = m(x - x1), the slope is represented by the variable m.
3.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a line that descends from left to right.
4.
FLASHCARD QUESTION
Front
How can you convert a point-slope equation to slope-intercept form?
Back
To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.
5.
FLASHCARD QUESTION
Front
What is the significance of the point (x1, y1) in the point-slope form?
Back
The point (x1, y1) is a specific point on the line that the equation represents.
6.
FLASHCARD QUESTION
Front
If a line has a slope of 2, what does this mean in terms of rise over run?
Back
A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).
7.
FLASHCARD QUESTION
Front
What is the slope of a line that is horizontal?
Back
The slope of a horizontal line is 0.
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