What is the slope of a line that is perpendicular to a line with a slope of $$\frac{2}{3}$$ ?

The slope of a line that is perpendicular to a line with slope $$\frac{2}{3}$$ is $$-\frac{3}{2}$$ .

Write the equation of a line in slope-intercept form that is parallel to $$y = -4x + 1$$ and passes through the point (-1/2, 2).

The equation is $$y = -4x + 4$$ .

What does it mean for a line to be represented by the equation $$x = -3$$ ?

The equation $$x = -3$$ represents a vertical line that is parallel to the y-axis and passes through the point (-3, y) for all values of $$y$$ .

Write the equation of a line in slope-intercept form that is perpendicular to $$y = (2/3)x - 4$$ and passes through the point (-6, 1).

The equation is $$y = -\frac{3}{2}x - 8$$ .

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 can you tell if a graph of an inequality is correct?

Check if the correct side of the line is shaded according to the inequality and if the line is solid or dashed based on whether the inequality includes equality.

What is the slope of the line represented by the equation $$y = -4x + 1$$ ?

The slope of the line is $$-4$$ .

If a line has a slope of 0, what does that indicate about the line?

A line with a slope of 0 is horizontal and does not rise or fall as it moves along the x-axis.

What is the general form of a linear equation?

The general form of a linear equation is $$Ax + By + C = 0$$ , where $$A$$ , $$B$$ , and $$C$$ are constants.

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

The slope is calculated using the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does it mean for two lines to intersect?

Two lines intersect if they cross each other at a point, which means they have different slopes.

What is the equation of a line that is vertical?

The equation of a vertical line is of the form $$x = k$$ , where $$k$$ is a constant.

Algebra Unit 4 Review 2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

7.

FLASHCARD QUESTION

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Back

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