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2 years ago

9

Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

2 answers:

Mashutka [201]2 years ago

6 0

Answer:

$y =-\frac{2}{3} x - \frac{2}{3}$

Step-by-step explanation:

Equation of line in point slope form is given as

$y-y_1=m(x-x_1)$

Here

m=-2/3 and $(x_1, y_1)=(-1, 0)$

Equation of the line passing through the point (-1, 0) with slope -2/3 is

$y-0=-\frac{2}{3} (x-(-1))$

$y =-\frac{2}{3} (x+1)$

$y =-\frac{2}{3} x - \frac{2}{3}$

adoni [48]2 years ago

4 0

Answer:

y = -2/3x - 1

Step-by-step explanation:

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allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

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so that

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$a_n=a_1+(n-1)d$

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$21=(n-1)d$

$n$ has to be an integer, which means there are 4 possible cases.

Case 1: $n-1=1$ and $d=21$ . But

$\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123$

Case 2: $n-1=21$ and $d=1$ . But

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Case 3: $n-1=3$ and $d=7$ . But

$\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123$

Case 4: $n-1=7$ and $d=3$ . But

$\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123$

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