Writing Linear Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+4
Standards-aligned
Wayground Content
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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.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept (b) represents 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
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 significance of the slope in a linear equation?
Back
The slope indicates the rate of change of y with respect to x; a positive slope means y increases as x increases, while a negative slope means y decreases as x increases.
Tags
CCSS.8.EE.B.5
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).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is a linear relationship?
Back
A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.
Tags
CCSS.HSF-LE.A.1B
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