What is the slope of a line perpendicular to a line with slope $$-\frac{1}{2}$$ ?

The slope of a line perpendicular to a line with slope $$-\frac{1}{2}$$ is $$2$$ .

Simplify the expression $$6a^5b^3\text{√}6b$$ .

The expression is already in its simplest form: $$6a^5b^3\text{√}6b$$ .

What is the formula for the slope-intercept form of a line?

The slope-intercept form of a line is given by: $$y = mx + b$$ , where m is the slope and b is the y-intercept.

How do you determine the slope from a graph?

To determine the slope from a graph, select two points on the line and use the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does the term 'slope' refer to in mathematics?

Slope refers to the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change.

What is the slope of a horizontal line?

The slope of a horizontal line is 0.

What is the slope of a vertical line?

The slope of a vertical line is undefined.

If the slope of a line is negative, what does that indicate about the line's direction?

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

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form $$y = mx + b$$ .

How do you simplify the expression $$2a^5b^3\text{√}54b$$ ?

The simplified form is $$6a^5b^3\text{√}6b$$ .

Unit 5 Test Study Guide Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

3.

FLASHCARD QUESTION

Front

What is the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

The number 4 represents the slope of the line.

6.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

7.

FLASHCARD QUESTION

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with slope 2 is also 2.

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