Find the equation of the line perpendicular to y =
3x + 6 and containing the point (-9,-5).

The equation of the line perpendicular to y =  3x + 6 and containing the point (-9,-5) is

Solution:

Given that line perpendicular to y =  3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c  ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line slope of line perpendicular to given line = -1

Let us now find the equation of line with slope and containing the point (-9, -5)

Substitute and (x, y) = (-9, -5) in eqn 1

Thus the required equation of line is:

Substitute and c = -8 in eqn 1

Thus the required equation of line perpendicular to given line is found

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step-by-step explanation: