
Equation of a line
Flashcard
•
Mathematics
•
7th - 8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the general form of the equation of a line?
Back
The general form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you determine the slope of a line from two points?
Back
The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in the equation of a line?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does that indicate about the line?
Back
A line with a slope of 0 is horizontal, indicating that the y-value remains constant regardless of the x-value.
5.
FLASHCARD QUESTION
Front
What is the slope of a line that is vertical?
Back
The slope of a vertical line is undefined because the change in x is 0, leading to division by zero in the slope formula.
6.
FLASHCARD QUESTION
Front
How can you find the equation of a line given a point and the slope?
Back
You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a line?
Back
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
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