What is the significance of the slope being positive, negative, zero, or undefined?

A positive slope indicates the line rises, a negative slope indicates it falls, a zero slope indicates a horizontal line, and an undefined slope indicates a vertical line.

What is the relationship between parallel lines in terms of slope?

Parallel lines have the same slope but different y-intercepts.

What is the relationship between perpendicular lines in terms of slope?

Perpendicular lines have slopes that are negative reciprocals of each other; if one slope is m, the other is $$-\frac{1}{m}$$ .

How do you graph a linear equation using the slope and y-intercept?

To graph a linear equation, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

What is the formula for finding the y-coordinate of a point on a line given x?

To find the y-coordinate, substitute the x-value into the linear equation $$y = mx + b$$ .

What does it mean for a linear function to be increasing or decreasing?

A linear function is increasing if the slope is positive and decreasing if the slope is negative.

How can you determine if a point (x, y) lies on a line represented by a linear equation?

To determine if a point lies on the line, substitute the x-value into the equation and check if the resulting y-value matches the y-coordinate of the point.

What is the importance of understanding linear functions in real-world applications?

Linear functions are used to model relationships between variables, making them essential for predicting outcomes and analyzing trends in various fields.

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.5, 8.EE.B.6, HSF.IF.A.2

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the Point-Slope Form of a linear equation?

Back

FLASHCARD QUESTION

Front

What is the Slope-Intercept Form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

How do you convert from Slope-Intercept Form to Standard Form?

Back

FLASHCARD QUESTION

Front

What is the Standard Form of a linear equation?

Back

FLASHCARD QUESTION

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

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