Linear Equations: Word Problems and Beyond
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.
3.
FLASHCARD QUESTION
Front
How do you interpret the slope in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x. It indicates how much y increases or decreases for each unit increase in x.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
How can you find the equation of a line given two points?
Back
To find the equation of a line given two points (x1, y1) and (x2, y2), first calculate the slope (m) using m = (y2 - y1) / (x2 - x1), then use one of the points to solve for b in the equation y = mx + b.
6.
FLASHCARD QUESTION
Front
What is the relationship between the slope and the direction of a line?
Back
If the slope is positive, the line rises from left to right. If the slope is negative, the line falls from left to right. A slope of zero indicates a horizontal line, while an undefined slope indicates a vertical line.
7.
FLASHCARD QUESTION
Front
How do you write an equation for a real-world situation?
Back
Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.
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