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spayn [35]
3 years ago
6

Write the equation of the line in fully simplified slope-intercept form??

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

y=-2/3x+3

Step-by-step explanation:

(m)slope :rise over run

(b)y-intercept :where the line crosses the y axis

slope intercept for y=mx+b

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Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

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We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

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f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

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