Slope and Slope-Intercept FLASHCARD

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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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' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).
2.
FLASHCARD QUESTION
Front
What does the slope-intercept form of a linear equation look like?
Back
The slope-intercept form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept from the equation y = 2x + 5?
Back
The y-intercept is the value of y when x = 0. For y = 2x + 5, when x = 0, y = 5. So, the y-intercept is (0, 5).
4.
FLASHCARD QUESTION
Front
What does 'b' represent in the equation y = mx + b?
Back
'b' represents the y-intercept of the line, which is the point where the line crosses the y-axis.
5.
FLASHCARD QUESTION
Front
If a line has a slope of 1/2, what does this mean?
Back
A slope of 1/2 means that for every 2 units you move horizontally to the right, the line rises 1 unit vertically.
6.
FLASHCARD QUESTION
Front
What is the equation of a horizontal line?
Back
The equation of a horizontal line is of the form y = k, where k is a constant. For example, y = -4 is a horizontal line.
7.
FLASHCARD QUESTION
Front
How do you determine the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
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