All categories

3 years ago

Write the equation of a line that is perpendicular to x=-6 and that passes through the point (-1 -2)

Mathematics

1 answer:

Anna11 [10]3 years ago

3 0

Equation of the line perpendicular to x = -6 is y = -2

Step-by-step explanation:

The equation of a line in the slope-intercept force is

$y-y_0 = m(x-x_0)$

where

m is the slope

$(x_0,y_0)$ are the coordinates of a point on the line

In this problem, we have already a point on the line:

$(x_0,y_0)=(-1,-2)$

Concerning the slope, we are told that the line is perpendicular to the line

x = -6

This line is a vertical line: therefore, our line must be a horizontal line, so its slope is

$m=0$

So now we can find the equation of the line:

$y-(-2)=0(x-(-1)\\y+2=0\\y=-2$

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

You might be interested in

Someone help me with this question plzzz

asambeis [7]

Answer:

Step-by-step explanation:

As per Janayda,

From the figure attached,

In ΔTRQ,

m∠TRQ + m∠RQT + m∠QTR = 180°

25° + m∠RQT + 35° = 180°

m∠RQT = 180° - 60°

m∠RQT = 120°

Since, m∠RQT + m∠PQT = 180° [Linear pair of angles]

m∠PQT = 180° - m∠RQT

= 180° - 120°

= 60°

In right angled triangle TPQ,

m∠TPQ + m∠PQT + m∠PTQ = 180°

90° + 60° + m∠PTQ = 180°

m∠PTQ = 180° - 150°

= 30°

Similarly, other angles can also be evaluated from the given information.

In ΔQTP and ΔNTP,

TP ≅ TP [Reflexive property]

NP ≅ PQ [Given]

ΔQTP ≅ ΔNTP [By LL postulate for congruence]

Therefore, Janayda is correct.

While Sirr is incorrect.

Since, there is not the enough information to prove ΔRTQ and ΔMTN equal, Isabelle is incorrect.

7 0

2 years ago

What is the value of the expression when a = -2, b = 3, and c = -6?

Artyom0805 [142]

<h2> Answer : –1</h2>

follow my account

7 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST!!!!

MaRussiya [10]

(a) The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b) The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + c

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

(a) The slope of the line is $\frac{3}{4}$

(b) The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

y = $\frac{3}{4}$ x + 6

The inequality that model the problem is:

20x + 10y ≥ 2000

Step-by-step explanation:

The given is:

1. The county fair charges $1.25 per ticket for the rides.

2. Jermaine bought 20 tickets for the rides and spent a total of $35.00

at the fair

3. Jermaine spent his money only on ride tickets and fair admission

4. The price of the fair admission is the same for everyone

Use y to represent the total cost and x to represent the number of

ride tickets

∵ The price of a ticket = $1.25

∵ The number of tickets = x

∵ y represents the total cost

∵ The total cost = the cost of a ticket × the number of tickets + the price

of the fair admission

∴ y = 1.25 x + c, where c is the fair admission

∵ Jermaine bought 20 tickets

∴ x = 20

∵ Jermaine spent a total of $35.00 at the fair

∴ y = 35

- Substitute these values in the equation in step b

∴ 35 = 1.25(20) + c

∴ 35 = 25 + c

- Subtract 25 from both sides

∴ c = 5

∵ c represents a constant term (y-intercept) in the linear equation

∴ The price of the fair admission for any one is $5

(a)

The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b)

The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + 5

(c)

Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

A line goes through the points (-4 , 3) and (4 , 9)

The rule of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ $x_{1}$ = -4 and $x_{2}$ = 4

∵ $y_{1}$ = 3 and $y_{2}$ = 9

∴ $m=\frac{9-3}{4--4}=\frac{6}{8}=\frac{3}{4}$

(a)

The slope of the line is $\frac{3}{4}$

(b)

The point-slope form of the equation is $y-y_{1}=m(x-x_{1})$

∵ $y_{1}$ = 3 and $x_{1}$ = -4

∵ m = $\frac{3}{4}$

∴ y - 3 = $\frac{3}{4}$ (x - -4)

∴ y - 3 = $\frac{3}{4}$ (x + 4)

The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

(c)

The slope-intercept form of the equation is y = mx + c, where c is the

y-intercept

∵ m = $\frac{3}{4}$

∴ y = $\frac{3}{4}$ x + c

- To find c substitute x and y by the coordinates of one of the two

given points

∵ x and y are the coordinates of point (4 , 9)

∴ 9 = $\frac{3}{4}$ (4) + c

∴ 9 = 3 + c

- Subtract 3 from both sides

∴ c = 6

∴ y = $\frac{3}{4}$ x + 6

The equation of the line in slope-intercept form is:

y = $\frac{3}{4}$ x + 6

Jacob and Sarah are saving money to go on a trip

The given is:

1. They need at least $2000 in order to go

2. Jacob mows lawns and Sarah walks dogs to raise money

3. Jacob charges $20 each time he mows a lawn and Sarah charges

$10 each time she walks a dog

4. x representing the number of lawns mowed and y representing the

number of dogs walked

∵ x representing the number of lawns mowed

∵ Jacob charges $20 each time he mows a lawn

∴ Jacob can earn $20x

∵ y representing the number of dogs walked

∵ Sarah charges $10 each time she walks a dog

∴ Sarah can earn 10y

∵ They need at least $2000 in order to go to the trip

∴ 20x + 10y ≥ 2000

The inequality that model the problem is:

20x + 10y ≥ 2000

Learn more:

You can learn more about inequality in brainly.com/question/6703816

brainly.com/question/10402163

#LearnwithBrainly

5 0

2 years ago

What is the LCD of 1/6 and 3/10

Marta_Voda [28]

The LCD is 30.

Think of it this way. You and I are on an assembly line checking i-pads. Your job is to quality check every 6th one and my job is to check every 10th one.
Here are the ones you will check:

6, 12, 18, 24, 30 and so on
Here are the ones I will check
10, 20 30 and so on.

Notice the first one we both check? #30 - that is the LCD of 6 and 10

6 0

3 years ago

Nikita performed an experiment in which she randomly pulled a marble from a bag, recorded its color, placed it back in the bag,

Naddik [55]

I believe the answer is 3/14
not quite sure but thats my guess:)

4 0

2 years ago