
3.10 Point-Slope, y-intercept, Linear and Exponential
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you convert a linear equation from slope-intercept form to point-slope form?
Back
To convert from slope-intercept form (y = mx + b) to point-slope form (y - y1 = m(x - x1)), identify a point (x1, y1) on the line using the y-intercept (0, b) or any other point.
3.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). It is often represented by the letter m.
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
The y-intercept of a linear equation in the form y = mx + b is the value of b, which is the point where the line crosses the y-axis (x=0).
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be exponential?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.
6.
FLASHCARD QUESTION
Front
How do you identify the y-intercept from an exponential function?
Back
In an exponential function of the form f(x) = a * b^x, the y-intercept is the value of f(0), which equals a.
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.
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