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passes through (-1,-8) and perpendicular to x+3y=-6​

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ashishdwivedilVT

The equation of line which passes through point (-1, -8) and slope 3 is y = 3x -5.

What is Slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

Here, Line passes through (-1, -8) and perpendicular to x + 3y = -6

Given equation of line:   x + 3y = -6

                                        3y = -6 - x

                                         y = (-6 -x)/3

                                        y = (-1/3)x - 2

Slope of given line m₁ = -1/3

we know, if two lines are perpendicular the product of their slope is -1.

                  m₁.m₂ = -1

                  (-1/3) m₂ = -1

                    m₂ = 3

Equation of Line passing through point (-1, -8) and slope 3

     (y - y₁) = m₂(x - x₁)

      ( y - (-8)) = 3(x - (-1))

       (y + 8) = 3(x + 1)

       y + 8 = 3x + 3

       y = 3x + 3 - 8

       y = 3x -5

Thus, the equation of line which passes through point (-1, -8) and slope 3 is y = 3x -5.

Learn more about Slope from:

https://brainly.com/question/3605446

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