Linear Equations fall final math 8

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to find the slope from two points?
Back
The slope (m) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).
2.
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.
3.
FLASHCARD QUESTION
Front
How do you identify a linear equation from a table of values?
Back
If the change in y-values is constant for equal changes in x-values, the equation is linear.
4.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the meaning of the slope in a linear equation?
Back
The slope represents the rate of change of y with respect to x; it indicates how steep the line is.
6.
FLASHCARD QUESTION
Front
Write a linear equation for a situation where a company charges a base fee plus a variable cost per unit. Example: $15 base fee and $4 per hour.
Back
y = 4x + 15, where y is the total cost and x is the number of hours.
7.
FLASHCARD QUESTION
Front
What is the difference between linear and nonlinear equations?
Back
Linear equations graph as straight lines, while nonlinear equations graph as curves.
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