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lyudmila [28]
2 years ago
13

Find the slope of a line perpendicular to each given line Y=-4/5x

Mathematics
1 answer:
dimulka [17.4K]2 years ago
3 0

Answer:

5/4

Step-by-step explanation:

If a line is perpendicular to another, its slopes multiply up to -1.

So, we should write x•-4/5=-1

-4x/5=-1

x=-1•(-5/4)

x=5/4

So, we have y=5/4x+b

Slope is just the value before the x, which in this case is 5/4/.

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Answer:

The answer is (-5/24, -7.5).

Step-by-step explanation:

There are two methods to solving a system of equations - substitution or elimination.  In this example, we can use elimination since the coefficients of 'x' are opposite signs.  To complete elmination, we simply add the equations together:

-12x - 5y = 40

<u>+ 12x - 11y = 80</u>

-16y = 120

Use inverse operations to solve for 'y' by dividing both sides by -16 to get       y = -7.5.

Next, plug in the value of 'y' into one of the equations and solve for 'x':

-12x  - (5)(-7.5) = 40 or  -12x + 37.5 = 40, now subtract 37.5 from both sides:  -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2.  Lastly, divide both sides by -12 to solve for x, x = -5/24.  

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