LT.3: Students write linear equations in slope-intercept

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Mathematics
•
9th - 12th 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
Identify the slope and y-intercept in the equation: y = 3x + 4.
Back
Slope: 3, y-intercept: 4.
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope represents the rate of change of y with respect to x; it indicates how steep the line is.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = -2x + 5?
Back
The y-intercept is 5.
5.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope m is calculated as m = (y2 - y1) / (x2 - x1).
6.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 1 and a y-intercept of -3?
Back
The equation is y = 1x - 3 or y = x - 3.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does that indicate about the line?
Back
A slope of 0 indicates that the line is horizontal.
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