Unit 5 Test Review - Various Forms-Linear Inequalities
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Mathematics
•
9th - 12th Grade
•
Hard
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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 determine the slope of a line given two points?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.
3.
FLASHCARD QUESTION
Front
What does a solid boundary line indicate in a linear inequality?
Back
A solid boundary line indicates that the inequality includes the boundary, meaning it uses ≤ or ≥.
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).
5.
FLASHCARD QUESTION
Front
How do you graph the inequality x - 2y > 6?
Back
To graph the inequality, first graph the line x - 2y = 6 as a dashed line, then shade the region above the line.
6.
FLASHCARD QUESTION
Front
What is the first step in writing the equation of a line given a point and a slope?
Back
The first step is to use the point-slope form of the equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
7.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
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