Solutions on a graph
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a solution of a system of equations?
Back
A solution of a system of equations is a set of values for the variables that makes all the equations true. It is represented as an ordered pair (x, y) on a graph.
Tags
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
How can you find the solution of a system of linear equations graphically?
Back
To find the solution graphically, plot the equations on a coordinate plane. The point where the lines intersect is the solution to the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean if two lines on a graph are parallel?
Back
If two lines are parallel, it means they have the same slope and will never intersect. Therefore, the system of equations has no solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean if two lines on a graph coincide?
Back
If two lines coincide, they lie on top of each other, meaning they have infinitely many solutions as every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the significance of the intersection point of two lines?
Back
The intersection point represents the solution to the system of equations, indicating the values of x and y that satisfy both equations.
Tags
CCSS.8.EE.C.8B
6.
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).
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How do you determine the slope from a graph?
Back
To determine the slope from a graph, select two points on the line, calculate the vertical change (rise) and the horizontal change (run), and divide rise by run.
Tags
CCSS.8.EE.B.5
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