Point-Slope Form
Flashcard
•
Mathematics
•
9th - 10th 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
Identify the slope in the equation y - 3 = 2(x + 4).
Back
The slope (m) is 2.
3.
FLASHCARD QUESTION
Front
What point does the line y + 1 = 2(x - 5) pass through?
Back
The line passes through the point (5, -1).
4.
FLASHCARD QUESTION
Front
Convert the equation y - 5 = 3(x + 2) to slope-intercept form.
Back
The slope-intercept form is y = 3x + 11.
5.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y - 3 = -4(x + 1)?
Back
The slope (m) is -4.
6.
FLASHCARD QUESTION
Front
If a line has a slope of 1 and passes through the point (2, 3), what is its equation in point-slope form?
Back
The equation is y - 3 = 1(x - 2).
7.
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 used to define the line's position.
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