Writing equations from two points
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
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 y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you find the slope (m) between two points (x1, y1) and (x2, y2)?
Back
The slope m is calculated as m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.
4.
FLASHCARD QUESTION
Front
Given points (x1, y1) and (x2, y2), how do you write the equation of the line?
Back
First, calculate the slope m. Then use the point-slope form: y - y1 = m(x - x1) and rearrange to slope-intercept form.
5.
FLASHCARD QUESTION
Front
What is the significance of the slope in a linear equation?
Back
The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.
6.
FLASHCARD QUESTION
Front
How can you determine if two points lie on the same line?
Back
Calculate the slope between the two points; if the slopes are equal, the points lie on the same line.
7.
FLASHCARD QUESTION
Front
What is the equation of the line that passes through (0, 0) and (1, 2)?
Back
The equation is y = 2x.
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