How do you find the slope from the equation of a line in standard form?

Convert to slope-intercept form $$y = mx + b$$ , where $$m$$ is the slope.

What does it mean for two lines to be parallel?

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

If a line has a slope of 3, what is the slope of a line parallel to it?

The slope of a parallel line is also 3.

What is the slope-intercept form of a line?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

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

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

What is the point-slope form of a line?

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

If two lines are represented by the equations $$y = 2x + 3$$ and $$y = 2x - 5$$ , are they parallel?

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

What is the significance of the y-intercept in the equation of a line?

The y-intercept is the point where the line crosses the y-axis.

Parallel lines equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are equal.

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