What is an equation of the line that passes through the points (−6,−2) and (6,8)

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

Answer:

y=5/6x+3

Step-by-step explanation:

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Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5} \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5} \right)$

6 0

3 years ago

Andrew blew up 25 more balloons than the quotient of the number that Cameron blew up and 8.Cameron blew up b balloons.Write an e

Softa [21]

I have no idea sorry

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2 years ago

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kirza4 [7]

Answer:

the answer is 4

Step-by-step explanation: