Equation Of Parallel Lines

In this video, Lucy explains how to find the equation of parallel lines. She begins by reviewing the y = mx + c format and the concept of gradient. Lucy illustrates that parallel lines have the same gradient and demonstrates how to find the equation of a parallel line passing through a given point. She provides a step-by-step example, showing how to substitute coordinates to find the y-intercept. The video concludes with a summary and a prompt to explore perpendicular lines in another video.

What is the general form of the equation for straight lines?

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How do you determine the gradient of parallel lines?

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If the equation of a line is y = 2x + 6, what would be the equation of a parallel line passing through the point (4, -2)?

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

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Explain how to find the equation of a line that is parallel to y = -2x + 5 and passes through the point (1, -1).

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