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ella [17]
3 years ago
8

At a parking garage you can park underground or above ground. The lowest part of the underground parking is 40 feet below ground

level. The highest part of the parking garbage is 20 feet above ground level. The limousine parking area is 24 feet below ground level. Use positive and negative numbers to represent to locations, with respect to ground level, of the three different parts of the parking garage. Which park of re parking garage is closest to the gourd level?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0
The limousine parking area is the closest
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MATH HELP
elena-s [515]

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Step-by-step explanation:

Given equation is:

3x+2y = -8

First of all, we have to find the slope of the given line

So,

3x+2y = -8\\2y = -3x-8\\

Dividing both sides by 2

\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y  =-\frac{3}{2}x-4

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

m_1 = -\frac{3}{2}

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}

Slope-intercept form is:

y = m_2x+b

putting the value of the slope

y = \frac{2}{3}x+b

Putting the point (3,1) in the equation

1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1

Putting the value of b

y = \frac{2}{3}x-1

Hence,

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

8 0
3 years ago
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