How do you find the slope from the equation $$y = -2x + 6$$ ?

The slope is the coefficient of $$x$$ in the equation. For $$y = -2x + 6$$ , the slope is $$-2$$ .

What is the standard form of a linear equation?

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers.

How can you graph the equation $$y = 4x - 1$$ ?

To graph $$y = 4x - 1$$ , start at the y-intercept (0, -1) and use the slope (4) to find another point by going up 4 units and right 1 unit.

What is the difference between the x-intercept and y-intercept?

The x-intercept is where the line crosses the x-axis (y=0), while the y-intercept is where the line crosses the y-axis (x=0).

What does the term 'slope' mean in the context of a graph?

The slope is a measure of how steep a line is, calculated as the rise over run (change in y over change in x).

How do you determine if a line is horizontal or vertical?

A horizontal line has a slope of 0 and is represented by an equation of the form $$y = b$$ . A vertical line has an undefined slope and is represented by an equation of the form $$x = a$$ .

What is the significance of the point (0, b) in a linear equation?

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

How do you identify the correct graph for a linear equation?

To identify the correct graph, look for the slope and y-intercept. Plot the y-intercept and use the slope to find another point.

What is the graphical representation of the equation $$y = x - 4$$ ?

The graph of $$y = x - 4$$ is a straight line with a slope of 1 and a y-intercept at (0, -4).

Graphing Linear Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

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 (upward or downward).

3.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

6.

FLASHCARD QUESTION

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

7.

FLASHCARD QUESTION

Front

What is the x-intercept of a linear equation?

Back

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