What is a linear function?
Equations of Linear Functions

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is and the direction it goes (positive or negative).
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.
4.
FLASHCARD QUESTION
Front
How do you determine if a graph has a positive correlation?
Back
A graph has a positive correlation if, as the x-values increase, the y-values also increase, resulting in an upward-sloping line.
5.
FLASHCARD QUESTION
Front
How do you determine if a graph has a negative correlation?
Back
A graph has a negative correlation if, as the x-values increase, the y-values decrease, resulting in a downward-sloping line.
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
Convert the equation y - 12 = -2(x - 3) to slope-intercept form.
Back
y = -2x + 18.
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