Writing Linear Equations
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+3
Standards-aligned
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does 'slope' represent in a linear equation?
Back
The slope (m) represents the rate of change of the line, indicating how steep the line is and the direction it goes (positive or negative).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
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.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What does the 'y-intercept' represent in a linear equation?
Back
The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
If a line has a slope of -5/3, what does this indicate about its direction?
Back
A slope of -5/3 indicates that the line is decreasing; for every 3 units you move to the right, the line goes down 5 units.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the significance of the x-intercept in a linear equation?
Back
The x-intercept is the point where the line crosses the x-axis, indicating the value of x when y = 0.
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