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Flashcards on Linear Equations
Click on the flashcard to see the answer
What is a linear equation?
An equation that describes a straight line when graphed.
What is the standard form of a linear equation?
Ax + By = C, where A, B, and C are constants.
What is the slope-intercept form of a linear equation?
y = mx + b, where m is the slope and b is the y-intercept.
What is the point-slope form of a linear equation?
y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
What is the slope of a horizontal line?
The slope of a horizontal line is 0.
What is the slope of a vertical line?
The slope of a vertical line is undefined.
How can you determine if two linear equations are parallel?
Two linear equations are parallel if their slopes are equal.
How can you determine if two linear equations are perpendicular?
Two linear equations are perpendicular if the product of their slopes is -1.
What is the solution of a linear equation?
The point where the line intersects the x-axis or y-axis.
What is the method for solving a system of linear equations?
Substitution, elimination, or graphing.
What is the solution of a system of linear equations?
The point where the lines representing the equations intersect.
What is the formula for finding the x-intercept of a linear equation?
Set y = 0 and solve for x.
What is the formula for finding the y-intercept of a linear equation?
Set x = 0 and solve for y.
What is the point of intersection?
The point where two lines intersect.
What is the graph of a linear equation?
A straight line.
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Test Your Knowledge
What is the slope of a horizontal line?
1
-1
0
undefined
Check Answers
What is the standard form of a linear equation?
y = mx + b
x = c
Ax + By = C
y = x
Check Answers
When are two linear equations parallel?
When they have the same y-intercept
When their slopes are equal
When their slopes are different
When the product of their slopes is -1
Check Answers
What is the slope-intercept form of a linear equation?
y - y1 = m(x - x1)
y = mx + b
Ax + By = C
x = c
Check Answers
What is the method for solving a system of linear equations?
Multiplication
Substitution, elimination, or graphing
Differentiation
Integration
Check Answers
When are two linear equations perpendicular?
When they have the same slope
When their y-intercepts are equal
When the product of their slopes is -1
When their slopes are different
Check Answers
What is the formula for finding the solution of a system of linear equations?
y = mx + b
Ax + By = C
The point of intersection
Set x = 0 and solve for y
Check Answers
What is the solution of y = 2x + 3?
x = 2, y = 3
Many solutions
No solution
x = 3, y = 2
Check Answers
What is the slope of a vertical line?
0
undefined
1
-1
Check Answers
What is the point-slope form of a linear equation?
y - y1 = m(x - x1)
y = mx + b
Ax + By = C
x = c
Check Answers
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