What is a linear equation?
The Solution of 2 Graphed Linear Equations 8.9A

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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 it mean for two lines to intersect on a graph?
Back
When two lines intersect on a graph, it means that there is a solution to both equations at that point, representing the values of x and y that satisfy both equations.
3.
FLASHCARD QUESTION
Front
How can you determine the point of intersection of two linear equations graphically?
Back
To determine the point of intersection graphically, plot both equations on the same coordinate grid and identify the point where the two lines cross.
4.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It indicates how much y changes for a unit change in x.
5.
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, represented by the value of y when x is 0 in the equation y = mx + b.
6.
FLASHCARD QUESTION
Front
How do you find the solution to a system of linear equations?
Back
The solution to a system of linear equations can be found by graphing the equations and identifying the point of intersection, or by using algebraic methods such as substitution or elimination.
7.
FLASHCARD QUESTION
Front
What does it mean for two equations to have the same solution?
Back
Two equations have the same solution if they intersect at the same point on a graph, meaning that the values of x and y satisfy both equations.
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