4 years ago

Change 3Y - 2X = -6 to the slope-intercept form of the equation of a line.

Mathematics

1 answer:

k0ka [10]4 years ago

3 0

Answer:

y = 2/3x -2

Step-by-step explanation:

The slope intercept form of a line is

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

3y -2x = -6

Solve for y

Add 2x to each side

3y = 2x-6

Divide by 3

3y/3 = 2x/3 -6/3

y = 2/3x -2

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A new truck that sells for 29,000 depreciates 12% each year. What is the decay factor b?

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$\bf y=a(b)^t\qquad or\qquad A=I(1-r)^t\qquad \textit{let's check}\\\\
-------------------------------\\\\
\qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &29000\\
r=rate\to 12\%\to \frac{12}{100}\to &0.12\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=29000(1-0.12)^t\implies 
\begin{array}{llll}
A=&29000(0.88)^t\\
&\uparrow \qquad\quad \uparrow \\
&a\qquad\quad b
\end{array}$