Writing Linear Equations
Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
+4
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 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 determine the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
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 y when x = 0.
4.
FLASHCARD QUESTION
Front
How can 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: y = (-A/B)x + (C/B).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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; it shows how steep the line is and the direction it goes.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
How do you find the equation of a line given a point and the slope?
Back
Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the equation of a line given two points?
Back
First, calculate the slope using m = (y2 - y1) / (x2 - x1). Then use the point-slope form to find the equation.
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