What is the slope of the line represented by the equation y = $$\frac{5}{2}x + 3$$ ?

The slope of the line is $$\frac{5}{2}$$ .

Write the equation of a line parallel to y = $$\frac{1}{3}x - 4$$ that passes through the point (-3, 2).

The equation is y = $$\frac{1}{3}x + 3$$ .

If a line has a slope of $$\frac{2}{3}$$ , what is the angle of inclination?

The angle of inclination can be found using the tangent function: angle = arctan( $$\frac{2}{3}$$ ).

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 convert the equation from standard form to slope-intercept form?

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

What is the significance of the slope in real-world applications?

The slope can represent rates of change, such as speed, growth, or cost per unit.

What is the relationship between the slopes of parallel lines?

The slopes of parallel lines are equal.

What is the relationship between the slopes of perpendicular lines?

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

How do you find the y-intercept from the equation of a line?

To find the y-intercept, set x = 0 in the equation and solve for y.

MM3 12/17 REVIEW Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the ratio of the rise (change in y) over the run (change in x).

2.

FLASHCARD QUESTION

Front

How do you determine if two lines are parallel?

Back

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

3.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a line, y = mx + b.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

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.

7.

FLASHCARD QUESTION

Front

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

Back

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