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Novosadov [1.4K]
3 years ago
15

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

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Which one of the following are true
Lady bird [3.3K]

I say B it intercepts both axis

4 0
3 years ago
What is the slope of the line that passes through the points (-4, -1) and (4, 5)?
andreyandreev [35.5K]

Answer:

3/4

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 5 - -1)/( 4 - -4)

   = ( 5+1)/(4+4)

   = 6/8

   = 3/4

7 0
2 years ago
The general form of the equation of a circle is x2+y2−4x−8y−5=0.
valentina_108 [34]

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = \sqrt{25} = 5

4 0
3 years ago
Simplify (-2x-3)-(3x²-8x+9) <br>in standard form.
Musya8 [376]
(-2 x -3) - (3x^2 - 8x + 9)
     -6     -    9x - 17x
    -6          -        -8x
              -14x

hope this helps,
Batgirl12
8 0
2 years ago
ABOUT IT
tangare [24]

The answer would be the first phrase.

3x is 3 times x, and +4 is the sum of 3x and 4.

8 0
3 years ago
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