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Ede4ka [16]
3 years ago
5

Complete the equation of the line through (-1,6) (7,-2) Like Y= ??

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-1, 6) and (7, -2). Substitute:

m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}

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Question:

What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

A) $3 y(y-3)$

B) $y(y-3)$

C) 3y

D) 3

Answer:

Option D : 3 is the common denominator

Explanation:

It is given that the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

We need to determine the common denominator of $y+\frac{y-3}{3}$ from the complex fraction.

Let us consider the fraction $y+\frac{y-3}{3}$

To find the common denominator, let us take LCM.

Thus, rewriting the above fraction as,

\frac{y}{1} +\frac{y-3}{3}$

The LCM can be determined by multiplying the denominators.

Thus, we get,

1\times3=3

Thus, the common denominator is 3.

Hence, Option D is the correct answer.

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