Slope Intercept & Point Slope Form
Flashcard
•
Mathematics
•
8th - 10th 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 (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you identify the y-intercept from the slope-intercept form?
Back
The y-intercept is the value of b in the equation y = mx + b, which is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What is point-slope form of a linear equation?
Back
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 can you convert from point-slope form to slope-intercept form?
Back
To convert, solve for y in the point-slope equation y - y1 = m(x - x1) to get y = mx + (y1 - mx1).
6.
FLASHCARD QUESTION
Front
What is the significance of the x-intercept in a linear equation?
Back
The x-intercept is the value of x when y = 0, indicating where the line crosses the x-axis.
7.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).
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