Find the slope of the line inclined at an angle of 135- with positive direction of x -axis

Slope of line m = tan θ Here, θ = 135^∘ m = tan135^∘ = tan (90^∘ + 45^∘) = cot 45^∘ = 1 So, slope of the line is 1 ...

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Byju's Answer

Standard X

Mathematics

Point-Slope Form

Find the slop...

Question

Find the slope of the line inclined at an angle of $135^{\circ}$ with positive direction of x-axis

__

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Solution

Slope of line $m = t a n θ$

Here, $θ = 135^{\circ}$

$m = t a n 135^{\circ}$

$= t a n (90^{\circ} + 45^{\circ})$

$= - c o t 45^{\circ} = - 1$

So, slope of the line is $- 1$

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Find the slope of the line inclined at an angle of 135∘ with positive direction of x-axis __

Slope of line m=tanθ Here, θ=135∘ m=tan135∘ =tan(90∘+45∘) =− cot 45∘=−1 So, slope of the line is −1

Find the slope of the line inclined at an angle of $135^{\circ}$ with positive direction of x-axis

__

Slope of line $m = t a n θ$

Here, $θ = 135^{\circ}$

$m = t a n 135^{\circ}$

$= t a n (90^{\circ} + 45^{\circ})$

$= - c o t 45^{\circ} = - 1$

So, slope of the line is $- 1$