What is the slope of the line represented by the equation $$y = -\frac{1}{5}x + 4$$ ?

The slope is $$-\frac{1}{5}$$ .

What is the slope of the line represented by the equation $$x + 5y = -15$$ ?

First, rewrite in slope-intercept form: $$5y = -x - 15$$ , then $$y = -\frac{1}{5}x - 3$$ . The slope is $$-\frac{1}{5}$$ .

How can you determine if two lines are neither parallel nor perpendicular?

If their slopes are different and their product is not -1, they are neither.

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ .

What is the slope of a line that is horizontal?

The slope of a horizontal line is 0.

What is the slope of a line that is vertical?

The slope of a vertical line is undefined.

How do you convert the equation $$Ax + By + C = 0$$ to slope-intercept form?

Solve for y to get $$y = -\frac{A}{B}x - \frac{C}{B}$$ .

What does the term 'slope' represent in a graph?

Slope represents the steepness of a line, indicating how much y changes for a change in x.

If a line has a slope of 2, what does this mean?

For every 1 unit increase in x, y increases by 2 units.

5.6-5.8 Test Study Guide Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

2.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

3.

FLASHCARD QUESTION

Front

How do you find the slope of a line given its equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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