Linear Equations Test Review

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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 slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you identify the slope from a linear equation in slope-intercept form?
Back
The slope (m) is the coefficient of x in the equation y = mx + b.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How can you determine the equation of a line given two points?
Back
To determine 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 the point-slope form y - y1 = m(x - x1) to find the equation.
5.
FLASHCARD QUESTION
Front
What is the meaning of the term 'rate of change' in the context of linear equations?
Back
The rate of change refers to the slope of the line, indicating how much y changes for a unit change in x.
6.
FLASHCARD QUESTION
Front
How do you convert a linear equation from standard form to slope-intercept form?
Back
To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).
7.
FLASHCARD QUESTION
Front
What is the significance of a positive slope in a linear equation?
Back
A positive slope indicates that as x increases, y also increases, representing a direct relationship between the two variables.
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