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myrzilka [38]
3 years ago
10

Write the equation of a line that passes through the points (-4, -5) and (2, 13).

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0
(-4,-5)(2,13)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13 - (-5) / (2 - (-4)
slope(m) = (13 + 5) / (2 + 4)
slope(m) = 18/6 = 3

y = mx + b
slope(m) = 3
(2,13)...x = 2 and y = 13
now we sub, we are looking for b, the y int
13 = 3(2) + b
13 = 6 + b
13 - 6 = b
7 = b

so ur equation is : y = 3x + 7

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\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}

  • We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}

\large{ \tt{❃ \: SP  \: with \: VAT= SP + VAT\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP +  \frac{13}{100}  \: sp}}

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\large{ \tt{⇢ \: 113 \: SP = 406800}}

\large{ \tt{⇢ \: SP =  \frac{406800}{113} }}

\large{ \tt{⇢ \: SP = 3600}}

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\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}

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\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}

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\large{ \tt{⇾ \: 3600 = x -  \frac{10}{100} } \: x}

\large{ \tt{⇾ \: 3600 =  \frac{100x - 10x}{100} }}

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\large{ \tt{⇾ \: 90x = 360000}}

\large{ \tt{⇾ \: x =  \frac{360000}{90} }}

\large{ \tt{⇾ \: x = Rs \: 4000}}

\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER :  \boxed {\tt {\: Rs \: 4000}}}}}}

  • Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)
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