Standard to Slope-Intercept
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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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 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.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive or negative).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does the y-intercept (b) 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 is 0.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
Convert the equation 2x + 3y = 6 into slope-intercept form.
Back
y = -2/3x + 2.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in the standard form of a linear equation?
Back
The coefficients A, B, and C in the standard form Ax + By = C indicate the relationship between x and y, with A and B representing the direction and steepness of the line.
7.
FLASHCARD QUESTION
Front
How can you identify the slope from the equation 4x - y = 8?
Back
Rearranging to slope-intercept form gives y = 4x - 8, so the slope is 4.
Tags
CCSS.8.EE.B.5
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