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

The slope of the line is $$\frac{3}{4}$$ .

If a line is parallel to $$y = \frac{3}{4}x + 4$$ , what will be its slope?

The slope will also be $$\frac{3}{4}$$ .

Given the point (4, -4) and slope $$\frac{3}{4}$$ , what is the equation of the line in point-slope form?

The equation is $$y + 4 = \frac{3}{4}(x - 4)$$ .

Convert the point-slope equation $$y + 4 = \frac{3}{4}(x - 4)$$ to slope-intercept form.

The slope-intercept form is $$y = \frac{3}{4}x - 7$$ .

What does the term 'y-intercept' refer to 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.

If a line has a slope of $$\frac{3}{4}$$ , what is the angle of inclination?

The angle of inclination can be found using the tangent function: $$\theta = \tan^{-1}(\frac{3}{4})$$ .

What is the significance of parallel lines in geometry?

Parallel lines never intersect and maintain a constant distance apart.

How can you graph a line given its slope and y-intercept?

Start at the y-intercept on the y-axis, then use the slope to find another point by rising and running.

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

The slopes of two parallel lines are equal.

If the equation of a line is given as $$y = mx + b$$ , what does changing $$b$$ do to the graph?

Changing $$b$$ shifts the line up or down without affecting its slope.

2E Parallel IP 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

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

How do you find the equation of a line parallel to a given line through a specific point?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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