Mathematics, 11.06.2021 23:40 gmac24

What is the equation of the line perpendicular to y=5/4x-10 and passes through the point (11,6)?

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Answer from: emilyburrell575

$y=-\frac{4}{5}x+\frac{74}{5}$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: y=mx+b

where m is the slope and b is the y-intercept (the value of y when x is equal to 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

$y=\frac{5}{4} x-10$

From the given equation, we can identify clearly that the slope of this line is

$\frac{5}{4}$ . The negative reciprocal of $\frac{5}{4}$ is $-\frac{4}{5}$ , so therefore, the slope of the line we're currently solving for is $-\frac{4}{5}$ . Plug this into y=mx+b :

$y=-\frac{4}{5}x+b$

2) Determine the y-intercept (b)

$y=-\frac{4}{5}x+b$

Plug in the given point (11,6) and solve for b

$6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b$

Add $-\frac{44}{5}$ to both sides to isolate b

$6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b$

Therefore, the y-intercept is $\frac{74}{5}$ . Plug this back into $y=-\frac{4}{5}x+b$ :

$y=-\frac{4}{5}x+\frac{74}{5}$

I hope this helps!

Answer from: Quest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

step-by-step explanation:

i dont know

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