Writing Equations of Lines
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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 of a line given 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 the equation of a line?
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.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
How can you find the equation of a line given its slope and a point on the line?
Back
You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
5.
FLASHCARD QUESTION
Front
What is the significance of a positive slope in a linear equation?
Back
A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the significance of a negative slope in a linear equation?
Back
A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How do you convert the equation of a line 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
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