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tino4ka555 [31]
3 years ago
5

What is the slope intercept of a line perpendicular to the line y=2x+3 with the point (-2,-4)

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

y = - \frac{1}{2} x - 5

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 = 2x + 3 is in this form with slope m = 2

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 2, - 4) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = - \frac{1}{2} x - 5 ← equation of perpendicular line


You might be interested in
Rectangle JKLM:J(-3, 8), K(-3,-1), L(4, -1),
Maslowich

Answer:

The perimeter of the Rectangle JKLM is 32 unit.

Step-by-step explanation:

Consider the provided coordinates.

Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1),  M(4,8)

First plot the points as shown in figure:

The required figure is shown below:

Now find the distance between JK by using the distance formula.

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

d=\sqrt{\left(-3-\left(-3\right)\right)^2+\left(-1-8\right)^2}=9

Therefore, the length of JK is 9 unit.

Now find the length of the side JM

d=\sqrt{\left(4-\left(-3\right)\right)^2+\left(8-8\right)^2}=7

Therefore, the length of JM is 7 unit.

The perimeter of rectangle is: P=2(l+b)

Therefore,

P=2(7+9)

P=2(16)

P=32

Hence, the perimeter of the Rectangle JKLM is 32 unit.

4 0
3 years ago
Write and equation on the line that passed through (0,-1) and is perpendicular to the line y =1/9x+2
Marat540 [252]

Answer:

y=-9x-1

Step-by-step explanation:

since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1

5 0
3 years ago
Find the total area of the prism.<br><br> 144 sq. in.<br> 576 sq. in.<br> 864 sq. in.
anastassius [24]

Answer:

864\ in^{2}

Step-by-step explanation:

The figure is a cube

The surface area of a cube is equal to

S=6b^{2}

where

b is the length side of the cube

In this problem we have

b=12\ in

substitute

S=6(12^{2})=864\ in^{2}


7 0
4 years ago
I need help I don't understand this​
Lady_Fox [76]
<h3><u>Answer</u> :</h3>

It is clear from the diagram that,

  • ㄥ6 + ㄥ8 = 180

⇒ (2x - 5) + (x + 5) = 180

⇒ (2x + x) + (5 - 5) = 180

⇒ 3x + 0 = 180

⇒ x = 180/3

⇒ x = 60°

◈ From the geometry of figure,

  • ㄥ3 = ㄥ6

⇒ ㄥ6 = (2x - 5)

⇒ ㄥ6 = (2×60 - 5)

⇒ ㄥ6 = 120 - 5

⇒ <u>ㄥ6 = 115°</u>

4 0
3 years ago
First find f+g, f-g, f-g and f\g. Then determine the domain for each function f(x)=3×+7,g(×)=×+9 (f+g)(×)=
Lemur [1.5K]
I'll do f+g, you try the others on your own and comment if you need help with them! For f+g, you're just going to add the two functions together:
f(x)=3x+7
g(x)=x+9
(f+g)(x)=(3x+7)+(x+9)=4x+16

8 0
3 years ago
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