Writing Equations of Lines

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+3
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.F.A.3
CCSS.8.EE.B.6
2.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) of a line through two points is calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
How can you write the equation of a line given a point and a slope?
Back
You can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
6.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
7.
FLASHCARD QUESTION
Front
How do you convert from point-slope form to slope-intercept form?
Back
To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
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