- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
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Step-by-step explanation:
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Step-by-step explanation:
Answer: The value of the stove after 5 years is $1121.54
Step-by-step explanation:
Given: The price of stove A= $1150
The price depreciates about 0.5% each year.
In decimal the rate of depreciation r= 0.005
The value of the stove after x years is given by

The value of the stove after 5 years is given by

Hence, The value of the stove after 5 years is $1121.54.