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Find the inclination, Ø, of the line with given slope [tex]m = \frac{ - 21}{5} [/tex]

Find The Inclination Ø Of The Line With Given Slope Texm Frac 215 Tex class=

Sagot :

we know that

the slope is equal to the the tangent of the angle

so

m=-21/5

tan(∅)=-21/5

using a calculator

∅=-76.6 degrees

but the angle lies on the second quadrant

so

∅=180-76.6

∅=103 4 degrees

the answer is the option D

because the angle lies in the second Quadrantt