How to write the equation of a line perpendicular to another through a point

How to write the equation of a line perpendicular to another through a point

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to write the equation of a line that is perpendicular to a given line, specifically y = 4/3x + 6, and passes through a specific point (-4, -1). It covers the properties of perpendicular lines, focusing on the relationship between their slopes, which are negative reciprocals of each other. The tutorial demonstrates how to calculate the new slope and solve for the y-intercept using the given point, resulting in the equation y = -3/4x - 4.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the Y-intercept of the new line in this scenario?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Write the equation of the line that is perpendicular to y = 4/3x + 6 and passes through the point (-4, -1).

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