Write Equations from Graphs, Tables, Stories

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the slope of a linear equation?
Back
The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the change in y divided by the change in x (rise over run).
2.
FLASHCARD QUESTION
Front
How do you write an equation from a graph?
Back
To write an equation from a graph, identify two points on the line, calculate the slope (m), and use the slope-intercept form y = mx + b, where b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.
4.
FLASHCARD QUESTION
Front
What is the formula for slope (m) between two points (x1, y1) and (x2, y2)?
Back
The formula for slope (m) is m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that forms a straight line when graphed. It can be written in the form y = mx + b.
6.
FLASHCARD QUESTION
Front
How do you determine the equation from a table of values?
Back
To determine the equation from a table, find the rate of change (slope) between the values and use one of the points to find the y-intercept.
7.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a graph?
Back
A negative slope indicates that as the value of x increases, the value of y decreases, showing an inverse relationship.
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