Unit 4 Alg Flashcardizz slope and graphing
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a linear equation?
Back
The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
2.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation in slope-intercept form?
Back
In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b, which is the point where the line crosses the y-axis.
3.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
4.
FLASHCARD QUESTION
Front
How can you convert from point-slope form to slope-intercept form?
Back
To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.
5.
FLASHCARD QUESTION
Front
What does the slope of a line indicate about its direction?
Back
A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a graph?
Back
The y-intercept is significant because it indicates the value of y when x is zero, providing a starting point for the graph of the linear equation.
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 rise (change in y) and run (change in x), and then divide the rise by the run.
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