What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?

Answer:

y = -1/2c - 8

Step-by-step explanation:

2c - y = 6

2c -6 = y

Slope: 2. Slope of the perpendicular line: -1/2

Point (-4,-6)

y-intercept = -6 - (-1/2)(-4)

b = -6 -2 = -8

The equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex].  And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].

Here,

[tex]m=[/tex] the gradient,

[tex]c=[/tex]  the intercept on the y-axis

We have,

An equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] .

So,

Line [tex]2c - y = 6[/tex]  

[tex]2c - y = 6[/tex]

⇒ [tex]y=2c-6[/tex]

and  [tex]y = mx + c[/tex]

On comparing above two equations

[tex]m=2[/tex]

and Slope [tex]=-\frac{1}{m}[/tex]

So, Slope [tex]=-\frac{1}{2}[/tex]

Now,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]

                                              [tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]

Now,

Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]

[tex]2x_{2} +8=y_{2} +6[/tex]

[tex]2x_{2} -y_{2} +2=0[/tex]

So, the equation of the line is  [tex]2x_{2} -y_{2} +2=0[/tex] .

Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex]  and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

To know more about Equation of the line click here

https://brainly.com/question/2564656

#SPJ3

HELPOOPPPOOPFOLFMTMR ME

Tìm hàm số bậc nhất,biết đồ thị đi qua điểm (3;−2), song song với đường thẳng

′:3−2+1=0

A teacher tells her students she is just over 1 and billion seconds old.
1. Write her age in seconds using scientific notation.

hey uhm can someone answer this for 12 points

Solve: (x - y)/(sqrt(x) + 1) = 2 + (sqrt(x) - 5)/3​

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)

7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...

Solve for the unknown.​

Work out the value of 3.14

PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER

t (x) = 5x^2- 3x+4, what is the value t (-3)?

What is the GCF of x^3y^5z^2 and x^4yz^5?
If your are confused the question is also in the picture down below

I need help pleaseeeee

You’ve decided to open a checking account. You know there are a number of differences with individual banking institutions. Name at least 3 good questions to ask to get started, and explain why knowing this information is helpful. Use complete sentences.

The expression -7y is a

a. term
b. variable
c. constant

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)

2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

HELP PLEASEEEEEEE!!!!

maths giving 10 point asap 1 question only





Find the value of P​

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb

PLEASE HELP!!! 20 POINTS

Justify each step of the solution by stating the property that was used to get to each step.

Given: 2(10 − 13)+ 9 −5 = −34 + 55

Step 1: 2(10 −13) +9 = -34 + 60

Step 2: 20 — 26x + 9x = -34x + 60

Step 3: -17x = -34x + 40

Step 4: 17x =40

Step 5: x = 40/17

Given: WX congruent yz
Prove: WYXZ

A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.​

what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6

OMG PLS HELP ME N ANSWER

70+2e+3e=180° answere me ​

Realiza los siguientes problemas de Tanto Por Ciento.

1. Se desplaza un camión consumiendo el 60% de su combustible, si el tanque
lleno tiene 45 litros de gasolina ¿Cuántos litros ha consumido?


2. En un gimnasio una persona se pesa y tiene 78 kilogramos de peso, si el peso ideal (100%) para una persona de su edad es de 62 kilogramos ¿Cuales el porcentaje de peso que tiene la persona?

3. Un cohete lunar ha consumido el 20% de su tiempo de vida útil, el cual es de 15 años (100%) ¿Cuânto tiempo de vida útil ha consumido el cohete lunar?

4. El volcán de Pacaya incremento su altitud en 25 metros en su ultima erupción de ceniza, si el volcán mide 2,552 metro ¿Qué porcentaje de altura incremento?

5. Beni tiene el 40% de la edad de su hermano Aarón que tiene 24 años ¿Que edad tiene Beni?

victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the desire height ?​

Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes.

Part A. How would you represent Andy’s descent as a unit rate ? Express your answer in an integer.

Part B.If he continues at this rate , where will Andy be in relation to sea level after 6 minutes?