What is a linear equation?
Writing Linear Equations

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
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 and the direction it goes (positive or negative).
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.
4.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
6.
FLASHCARD QUESTION
Front
How do 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).
7.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 2 and a y-intercept of -3?
Back
The equation is y = 2x - 3.
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