Standard Form
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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 the formula 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 convert the standard form of a linear equation to slope-intercept form?
Back
To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What is the x-intercept of a linear equation?
Back
The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.
4.
FLASHCARD QUESTION
Front
How do you find the x-intercept from the equation 3x + 8y = 24?
Back
To find the x-intercept, set y = 0 and solve for x: 3x + 8(0) = 24, which gives x = 8.
5.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation 5x + 10y = 30?
Back
To find the slope, convert to slope-intercept form: 10y = -5x + 30, then y = -1/2x + 3, so the slope m = -1/2.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.
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