What is the slope of a line parallel to the line represented by the equation $$y = -\frac{2}{5}x + \frac{8}{5}$$ ?

The slope of a line parallel to $$y = -\frac{2}{5}x + \frac{8}{5}$$ is also $$-\frac{2}{5}$$ .

What is the slope of a line perpendicular to the line represented by the equation $$y = \frac{3}{4}x + 3$$ ?

The slope of a line perpendicular to $$y = \frac{3}{4}x + 3$$ is $$-\frac{4}{3}$$ .

If two lines have slopes $$m_1$$ and $$m_2$$ , what is the condition for them to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1, i.e., $$m_1 \cdot m_2 = -1$$ .

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

The slope of the line $$y = \frac{1}{5}x + 5$$ is $$\frac{1}{5}$$ .

What is the x-intercept of the line represented by the equation $$y = -\frac{4}{3}x$$ ?

The x-intercept is the point where $$y = 0$$ , which gives $$x = 0$$ .

What is the y-intercept of the line represented by the equation $$y = -\frac{4}{3}x + 5$$ ?

The y-intercept is the point where $$x = 0$$ , which gives $$y = 5$$ .

What is the equation of a line that is parallel to $$y = -\frac{2}{5}x + 4$$ and passes through the point (1, 2)?

The equation is $$y = -\frac{2}{5}x + \frac{12}{5}$$ .

What is the significance of the slopes of two lines in determining their relationship?

The slopes determine if lines are parallel (same slope) or perpendicular (negative reciprocal slopes).

If a line has a slope of $$\frac{3}{4}$$ , what is the slope of a line that is neither parallel nor perpendicular to it?

Any slope that is not $$\frac{3}{4}$$ or $$-\frac{4}{3}$$ will be neither parallel nor perpendicular.

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

The slope is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

How do you find the equation of a line given a point and a slope?

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ .

IM Geometry Unit 6 Review Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What is the condition for two lines to be parallel?

Back

Two lines are parallel if they have the same slope.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What defines a square in terms of its sides and angles?

Back

A quadrilateral is a square if all four sides are congruent and all four angles are 90 degrees.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How can you determine if a quadrilateral is a square using slopes?

Back

If adjacent sides have perpendicular slopes, the quadrilateral can be confirmed as a square.

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