Understanding linear Graphs
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear graph?
Back
A linear graph is a graph that represents a linear equation, showing a straight line on a coordinate plane. It depicts the relationship between two variables that have a constant rate of change.
2.
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 ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
3.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b, where b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is the x-intercept of a linear equation?
Back
The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b, where a is the x-intercept.
6.
FLASHCARD QUESTION
Front
What does the equation y = mx + b represent?
Back
This equation represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
How do you convert the equation 8y = 2x - 4 to slope-intercept form?
Back
To convert to slope-intercept form, solve for y: y = (1/4)x - 1/2.
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