
Equations of a line
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).
2.
FLASHCARD QUESTION
Front
How do you write the equation of a line in slope-intercept form?
Back
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What is the y-intercept in the equation y = -4x - 5?
Back
The y-intercept is -5, which is the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is point-slope form of a line?
Back
Point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
6.
FLASHCARD QUESTION
Front
Convert the point-slope form y + 7 = -1/4(x - 4) to slope-intercept form.
Back
To convert, distribute and simplify: y = -1/4x + 1 - 7, which simplifies to y = -1/4x - 6.
7.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a line?
Back
A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.
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