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svlad2 [7]
3 years ago
12

Please help me because I don't understand how to do it.:)

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

y= 1/3 x +5

Step-by-step explanation:

To find the slope, we take two points

(0,5)   and (15,10)

The slope is found by the formula

m = (y2-y1)/ (x2-x1)

   = (10-5)/(15-0)

   = 5/15

   = 1/3

The slope is 1/3

The y intercept is found when x=0

When x=0  y=5

The slope intercept form of the line is

y=mx+b  where m is the slope and b is the y intercept

y= 1/3 x +5

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tester [92]
\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{ k }}x
\end{array}\\ \quad \\


\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
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y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
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\end{array}


\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
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\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
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