Writing Linear Eq from table, graph & points

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•
Mathematics
•
8th Grade
•
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 the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept from a linear equation?
Back
The y-intercept can be found by setting x = 0 in the equation and solving for y. It is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = 3x + 4?
Back
The y-intercept is 4.
5.
FLASHCARD QUESTION
Front
How can you write a linear equation from a table of values?
Back
To write a linear equation from a table, identify the slope (change in y/change in x) and the y-intercept (value of y when x=0). Use the slope-intercept form y = mx + b.
6.
FLASHCARD QUESTION
Front
What does the term 'slope' mean in the context of a graph?
Back
Slope is the measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x).
7.
FLASHCARD QUESTION
Front
If a line has a slope of 2, what does this mean?
Back
A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.
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