Linear Equations
Flashcard
•
Mathematics
•
7th 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 'm' represent in the slope-intercept form (y = mx + b)?
Back
In the slope-intercept form, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.
3.
FLASHCARD QUESTION
Front
What does 'b' represent in the slope-intercept form (y = mx + b)?
Back
In the slope-intercept form, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you find 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).
5.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = 3x + 7?
Back
The y-intercept is 7, which is the value of y when x = 0.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = -2x + 5?
Back
The slope is -2, indicating that for every 1 unit increase in x, y decreases by 2 units.
7.
FLASHCARD QUESTION
Front
If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership after x months?
Back
The equation is y = 15x + 80.
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