Standard Form to Slope Intercept Form

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•
Mathematics
•
9th 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 the formula y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you convert an equation from standard form 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.
3.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation 4x - 3y = 15?
Back
The slope of the line can be found by converting the equation to slope-intercept form, resulting in a slope of 4/3.
4.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the first step in converting the equation 2x + 4y = 8 into slope-intercept form?
Back
The first step is to subtract 2x from both sides of the equation.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation 3x - 2y = 0?
Back
The slope of the line is 3/2, which can be found by converting the equation to slope-intercept form.
7.
FLASHCARD QUESTION
Front
What does the term 'standard form' refer to in linear equations?
Back
Standard form refers to the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.
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