Writing Linear Equations from Tables & Graphs
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
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 'm' represent in the equation y = mx + b?
Back
In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.
3.
FLASHCARD QUESTION
Front
What does 'b' represent in the equation y = mx + b?
Back
In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you find the slope from a table of values?
Back
To find the slope from a table of values, calculate the change in y (rise) divided by the change in x (run) between two points.
5.
FLASHCARD QUESTION
Front
What is the slope of the line that passes through the points (2, 3) and (4, 7)?
Back
The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.
6.
FLASHCARD QUESTION
Front
How can you write a linear equation from a graph?
Back
To write a linear equation from a graph, identify the slope (m) and the y-intercept (b) from the graph, then use the form y = mx + b.
7.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 1 and a y-intercept of 3?
Back
The equation is y = 1x + 3 or simply y = x + 3.
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