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blsea [12.9K]
3 years ago
8

Write an equation of the line that passes through the given point and is perpendicular to the given line.

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 1 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

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Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is -6?
babymother [125]

Answer:

Line M - neither

Line N - parallel

Line P - perpendicular

Line Q - neither

Step-by-step explanation:

If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.

If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.

3 0
4 years ago
The midpoint is (blank,blank)
sveta [45]

Answer:

The answer to your question is Midpoint = (0, 1)

                                                    Equation of the bisector    y = 2x + 1

Step-by-step explanation:

Data

P (-4, 3)

Q (4, -1)

Process

1.- Find the midpoint

Xm = (-4 + 4)/2

Xm = 0/2

Xm = 0

Ym = (3 - 1)/2

Ym = 2/2

Ym = 1

Midpoint = (0, 1)

2.- Equation of the line

slope = (-1 - 3) / (4 + 4)

          = -4/8

          = -1/2

But the new line is perpendicular so the new slope is

       m = 2

Equation of the new line

        y - y1 = m(x - x1)

        y - 1 = 2(x - 0)

        y - 1 = 2x

        y = 2x + 1

6 0
3 years ago
You take a test with 32 questions and get 24 correct. What percentage of the questions did you get correct?
Marta_Voda [28]

Answer: 75%

Step-by-step explanation:

The test had 32 questions and from these 32 you were able to get 24 questions right.

The percentage of questions you got right is the percentage of 32 that 24 is.

= Number of correct questions / Total number of questions * 100%

= 24 / 32 * 100%

= 75%

4 0
3 years ago
HELP!!!! Put the following in order from greatest to least.
Luden [163]

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

5 0
3 years ago
Al bought 24 stickers. He gave away 11 stickers. Then he bought 8 more stickers.
Yakvenalex [24]
24-11+8

He BOUGHT 24 stickers, so you'd write 24. Then because he GAVE AWAY 11 stickers, you would subtract 11 from 24, which is 24-11. Then because Al BOUGHT 8 stickers you'd add the 8 to the 24-11 to get 24-11+8.


(Bought means to add and Gave away is subtracting)
5 0
3 years ago
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