Convert the equation $$2x+3y=5$$ to slope-intercept form.

The slope-intercept form is $$y=-\frac{2}{3}x+\frac{5}{3}$$ .

Write the slope-intercept form of the equation of a line through the point (4,1) and parallel to $$y=-\frac{1}{2}x+2$$ .

The equation is $$y=-\frac{1}{2}x+3$$ .

What is point-slope form of a line?

Point-slope form is $$y-y_1=m(x-x_1)$$ , where $$m$$ is the slope and $$(x_1, y_1)$$ is a point on the line.

Write the point-slope form of a line with a slope of -5 that goes through the point (2, -3).

The equation is $$y + 3 = -5(x - 2)$$ .

Are the lines represented by $$y=2x+1$$ and $$y=2x-4$$ parallel?

Yes, they are parallel because they have the same slope of 2.

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

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

A slope of 0 indicates a horizontal line.

If a line has an undefined slope, what does that indicate about the line?

An undefined slope indicates a vertical line.

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

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

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

The slopes of two lines that are neither parallel nor perpendicular will not have a specific relationship; they will simply be different.

Identifying Parallel Lines and Slopes Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The slope is 3.

2.

FLASHCARD QUESTION

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

3.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a line?

Back

4.

FLASHCARD QUESTION

Front

If a line has a slope of -5, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also -5.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

The slope is -1/2.

7.

FLASHCARD QUESTION

Front

Back

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