Solving Systems by graphing

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•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution is the point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations in the system.
2.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, they have the same slope but different y-intercepts, resulting in no solution for the system.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are coincident?
Back
If two lines are coincident, they lie on top of each other, meaning they have infinitely many solutions.
5.
FLASHCARD QUESTION
Front
How do you find the intersection point of two lines?
Back
To find the intersection point, solve the system of equations simultaneously to find the values of the variables.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.
7.
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 change in y divided by the change in x (rise/run).
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