Algebra 1 Unit 3 Linear Equations & Graphs
Flashcard
•
Mathematics
•
7th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
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 (m) represent in the equation y = mx + b?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
3.
FLASHCARD QUESTION
Front
What is the y-intercept in the equation y = mx + b?
Back
The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.
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 (y = mx + b), solve for y.
7.
FLASHCARD QUESTION
Front
What does it mean if a linear equation has a slope of 0?
Back
A slope of 0 means the line is horizontal, indicating that y does not change as x changes.
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