Writing Equations in Standard Form
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
2.
FLASHCARD QUESTION
Front
How do you convert from point-slope form to standard form?
Back
To convert from point-slope form (y - y1 = m(x - x1)) to standard form, rearrange the equation to isolate the variables on one side and constants on the other.
3.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
How do you convert from slope-intercept form to standard form?
Back
To convert from slope-intercept form (y = mx + b) to standard form, rearrange the equation to the form Ax + By = C.
5.
FLASHCARD QUESTION
Front
What does it mean for an equation to be in standard form?
Back
An equation is in standard form when it is expressed as Ax + By = C, with A, B, and C being integers and A being non-negative.
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficients A and B in standard form?
Back
The coefficients A and B determine the slope of the line and its orientation in the coordinate plane.
7.
FLASHCARD QUESTION
Front
How can you identify the slope from a standard form equation?
Back
The slope can be identified from a standard form equation Ax + By = C by rearranging it into slope-intercept form (y = mx + b) and finding the value of m.
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