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3 years ago

7

Write an equation for the line parallel to the given line that contains C

1 answer:

Ksenya-84 [330]3 years ago

7 0

Answer:

The equation would be y = -2x + 10

Step-by-step explanation:

To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that we have a slope of -2 in the original line, therefore the parallel line will also have a slope of -2. Now we can use this and the given point to find the line using point-slope form.

y - y1 = m(x - x1)

y - 6 = -2(x - 2)

y - 6 = -2x + 4

y = -2x + 10

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<h3><u>Answer :</u><u>-</u><u> </u></h3>

<u> $\frac{1}{2}$ </u>

<h3><u>Question :- </u></h3>

$find \: \frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times ( \frac{ - 14}{9} )$

<h2><u>Solution :- </u></h2>

<h3><u>First </u><u>way:</u></h3>

<h3>• we have ; </h3>

$\frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times ( \frac{ - 14}{9} )$

<h3>So then , </h3>

$= > \: ( - \frac {4 \times 3}{5 \times 7} ) \times ( \frac{15 \times ( - 14)}{16 \times 9}$

$= > \: \frac{ - 12}{35} \times ( \frac{ - 35}{24} ) = \frac{ - 12 \times ( - 35)}{35 \times 24} = \frac{1}{2}$

<h3><u>Second way : </u></h3>

$\frac{ - 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{ - 14}{9} )$

$= > \: ( \frac{ - 4}{5} \times \frac{15}{16} ) \times \binom{3}{7} \times ( \frac{ - 14}{9} )$

[ ↑ Using commutativity and Associativity ] ...

$\frac{ - 3}{4} \times ( \frac{ - 2}{3} ) = \frac{1}{2}$

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