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Write the equation of a line in slope intercept form perpendicular to y=3x-5 passing through the point (-6,-2)

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Answer to a math question Write the equation of a line in slope intercept form perpendicular to y=3x-5 passing through the point (-6,-2)

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Andrea

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86 Answers

1. Given the slope of the original line

m_1 = 3

, find the slope of the perpendicular line

m_2 = -\frac{1}{3}

.

2. Using the point (−6, −2) and the formula for a line

y = mx + b

, plug in the point and the new slope:

-2 = -\frac{1}{3}(-6) + b

3. Solve for

-2 = 2 + b

b = -4

4. The equation of the line in slope-intercept form is:

y = -\frac{1}{3}x - 4

**Answer:**

y = -\frac{1}{3}x - 4

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Write the equation of a line in slope intercept form perpendicular to y=3x-5 passing through the point (-6,-2)

Answer to a math question Write the equation of a line in slope intercept form perpendicular to y=3x-5 passing through the point (-6,-2)

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