5.1-5.4 Writing Linear Equations in Various Forms

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Mathematics
•
9th Grade
•
Hard
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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
How do you find the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What is the Point-Slope Form of a linear equation?
Back
The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
4.
FLASHCARD QUESTION
Front
What does a slope of 0 indicate about a line?
Back
A slope of 0 indicates that the line is horizontal.
5.
FLASHCARD QUESTION
Front
What is the equation of a vertical line?
Back
The equation of a vertical line is of the form x = a, where a is the x-coordinate of any point on the line.
6.
FLASHCARD QUESTION
Front
How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?
Back
To convert, solve for y: y = (-A/B)x + (C/B).
7.
FLASHCARD QUESTION
Front
What is the y-intercept of the line represented by the equation y = 2x + 3?
Back
The y-intercept is 3, which is the point where the line crosses the y-axis.
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