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3 years ago

A line has a slope of 2. Write an equation in slope intercept form for the line that is perpendicular to this line.

Mathematics

2 answers:

notsponge [240]3 years ago

6 0

Hey there!

A perpendicular line's slope to another line is always the negative reciprocal of slope.

If our line has a slope of two, we first must find the reciprocal, which is 1/2. Then, we put a negative on it.

Therefore, our equation is y=-1/2x+b.

I hope that this helps! Have a great day!

Elden [556K]3 years ago

6 0

Answer:

y=2x

Step-by-step explanation:

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The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

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$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x