The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Answer 1

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].


Related Questions

PLEASE HELP MEEEE
Which of the following equations will produce the graph shown below?

Answers

Answer:

A. 6x^{2}+6y^{2}=144

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

=

x

73

\cos 48=\frac{73}{x}

cos48=

x

73

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

=

cos48

73

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.

Kan buys 35pound of mixed nuts for $ 3.50. At this rate, how many pounds of mixed nuts can he buys for $15?

Answers

Answer:

i think its 150 pounds if i wrong im super sorry

Step-by-step explanation:

Jenny earned 100 of a possible 144 points on a test. She lost 2 points for each incorrect answer. How
many incorrect answers did she have?
The equation is
There are
incorrect answers.

Answers

Answer: She had 22 incorrect answers

Step-by-step explanation: You divide 44 by 2.

Sarah went to lunch with 4 friends. The total bill was $125.68 and they had coupon for $20 off. How much did each person pay?

Answers

$21.13 you do $125.68-$20=... then divide the answer ___ /by 5!

How many liters of water vapor can be made from 34.0 grams of oxygen gas and excess amount of hydrogen gas at STP?

Answers

8.2 L is the correct answer

HELP PLEASE!!!
This meal costs $14.00.
A 7% sales tax is applied, followed by an automatic tip of 18%.
What is the total with tax and tip?

Answers

Answer:

17.6764$

Step-by-step explanation:

14 * 1.07 = 14.98$

14.98$ * 1.18 = 17.6764$

The tax is $0.98 and tip is $2.52

what is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Original Cost = $14

Tax = 7%

So, Price after tax = 14 + 7% of 14

                              = 14 + 0.98

                              = $14.98

and, after 18% tip = 14 + 18% of 14

                             = $16.52

Hence, the tax is $0.98 and tip is $2.52

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

What is the equation of the line (0, 0) (3, -9)

Answers

Answer:

y= -3x

Step-by-step explanation:

Find the slope

-9-0/3-0 = -9/3

Simplify = -3

Plug into point-slope formula

y-y1=m(x-x1)

y-0=-3(x-0)

y= -3x

PLS HELP
What is the area, in square of the parallelogram below?

Answers

Answer:

35 square units

Step-by-step explanation:

Area of the parallelogram = 7*5 = 35 square units

2/3x-3=19. Help? solve X

Answers

Answer:

x=33

Step-by-step explanation:

Answer: x=33

Step-by-step explanation:

2/3x-3=19

     +3  +3

2/3x=22

Divide by 2/3 on each side

x=33

If p:q = 34 :2 and p:r = 13 : 12, find the ratio of p:q:r​

Answers

Answer:

p:q:r = ?

p:q = 13/2

p:r = 34/12

= 17/6

p:q:r = 221:34:78

Step-by-step explanation:

7. Find the missing length. A. 36 B. 48 C. 49 D. 80 ​

Answers

Answer:

A. 36

Step-by-step explanation:

100-64= 36

please help
ill mark as the brainliest

Answers

180-130=50 so we know y=50 degrees now we need to add 50+68=118 degrees we know that all angles in a triangle add up to 180 degrees so we subtract 118 from 180 which gives us 62 so x=62 degrees

please help asap!!!!

Answers

Answer:

2,145.612

Step-by-step explanation:

Read the file upload!

Can someone help me pls

Answers

Answer: Angle B is 27 degrees

Step-by-step explanation:

All angles in a triangle must add up to 180 degrees so if two angles 63 and 90 add up to 153 then the last number added to 153 (x+153)=180 so 27 degrees

Answer:

Angle B is 27°

Step-by-step explanation:

90°-63°=27°

Can a triangle have two obtuse angles? please Justify your answer.

Answers

Answer:

No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.

Step-by-step explanation:

Answer:

No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.

Step-by-step explanation:

x + 2y = 10
-6x + 5y = -9
- what is the solution using substitution

Answers

X+2Y=10
X=10-2Y

-6X+5Y= -9
-6(10-2Y)+5Y= -9
-60+12Y+5Y= -9
17Y= -9+60
17Y=51
Y=3

X=10-2Y
X=10-2•3
X=10-6
X=4

PLEASE HELP ME OMG I WILL LOVE U FOREVER

Answers

Answer:

Extreme points of [tex](3-x)^{2}[/tex]  (6-x) : Minimum (3,0), Maximum (5, 4)

I hope that helps hshshs :)

Write an algebraic expression for the word expression.

32 divided by b

Answers

Answer:

32/b

Step-by-step explanation:

b will be divided out of 32

1.

Write the slope-intercept form of the equation for the line.


A. y = [tex]\frac{1}{2}[/tex]x - 1

B. y = – 2x – 1

C. y = 2x – 1

D. y = [tex]\frac{1}{2}[/tex]x + 1

Answers

Answer:  Here is the answers after I graphed it

1: The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

Step-by-step explanation:  I graphed it

1: You want to find the equation for a line that has a slope of 1 and a y-intercept of -1.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -1, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: You want to find the equation for a line that has a slope of 1 and a y-intercept of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -3, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

ANSWER FAST PLEASE

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer:16/8

Step-by-step explanation:

At Subway, there are 5 choices of bread, 2 sizes, and 13 filling options. Without considering the toppings, how many ways can you order a sandwich?

Answers

Answer:

20

Step-by-step explanation:

which function is shown in the table? (see image)

Answers

A is the answer the answers of f(x) are being multiplied by 3

Two business women are having lunch at a restaurant. Their bill came to $47.85, and they want to leave an 18% tip. What is the amount of the tip?

Answers

Answer: $8.61
Explanation: 47.85 times .18

Graph the line.
Don’t mind the random letters Fghhujhgdfvfdfgvee de f

Answers

Answer:

Step-by-step explanation:

Here, we want to graph the given line

Mathematically, to graph a line, we will

need to work with the intercepts

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

with respect to the question, 4 is the y-intercept

we have this point as (0,4)

To get the x intercept, we will need to substitute 0 for the value of y

So, we have ;

0 = -x + 4

x = 4

The x-intercept too is 4

This is the point (4,0)

So by joining the points (0,4) and (4,0);

we have successfully graphed the line

It can be found as an attachment below

in the graph below what is the unit rate ken paid to rent a go kart create a table to help finding the unit rate

Answers

The graph is missing, so i have attached it.

Answer:

$0.40 per minute

Step-by-step explanation:

From the attached graph, we can see that it is a linear graph.

Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.

Point 1 = (15, 6)

Point 2 = (35, 14)

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

Slope = (14 - 6)/(35 - 15)

Slope = 8/20

Slope = $0.40 per minute

The population of a small town is 7,300. if the population is growing by 4% each year, how long will it take for the population to reach 12,000?​

Answers

2 years is the correct answer

62% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?

Answers

Answer: 38% of fish decrease when passing through a single dam

Step-by-step explanation: you would take 100% - 62% which equals 38%


HELP PLZ FAST!!!!!! 100 POINTS PLZ HELP!!!!!!
An equivalent ratio to the tape diagram shown is __ to __.

Chose A: 8, 9, 7

Chose B: 20, 16, 17

Answers

Answer:

A. 8B. 16

Step-by-step explanation:

The ratio as per diagram:

2 to 4

Equivalent ratio from the options is:

8 to 16

There are no matches for 9, 7, 20, 17

Answer:

Equivlent ratio is 8:16

Step-by-step explanation:

8:16 can be further simplified into 2:4 but 8:16 is correct choice.

quotient 2 divided by 2 3

Answers

Answer: 11.5

Step-by-step explanation:

Other Questions
find the zeros of the function by factoring f(x)=x^2+16x+60Please show work if you can Write each of the following percents in words. a. 5% b. 34% c. 143% d. 500% 108 divided by 2 1/2 Enter the product as a mixed number plz help fast! P.S. I put chemistry by accident its biology lolThe measure of waters ability of flow through sediment and rock is called Triangles ABC and RST are similar. Find ST. Definition of Containment a can do.a piece of work in 6 days and B in 8 days each working 7hours a day In what time will they finish it together, working 8hrs a day PLZ HELP ASAP4. Which statement best supports a theme about sacrifice?Even though it was a long flight, Tod willingly gave up his first-class seat to an elderly veteran who had a hard time walking to the back of the plane.Sean remembered how difficult it was when his newspaper business failed, but he learned a lot and now his new lawn mowing business was going great.Milly couldn't wait to move to another country; she was brave and adventurous and loved to explore new places.When Sara saw how sad the new student looked, she quickly gathered her lunch and moved tables so she could introduce herself. URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!! define hedge fund economics. Calculate the molecular mass for the following: SnO2 Deferredby Langston Hughes (excerpt)This year, maybe do you think I can graduate?I'm already two years late.Dropped out six months when I was seven,a year when I was eleven,then got put back when we come North...Maybe now I can have that white enamel stoveI dreamed about when we first fell in loveeighteen years ago.But you know,rooming and everythingthen kids...Me, I always did want to study FrenchIt don't make sense-I'll never go to France,but night schools teach French...SomedayI'm gonna buy two new suitsat once!All I want isone more bottle of gin.All I want is to seemy furniture paid for.andjazz formats in this poem to emphasize how African American dreamsLangston Hughes usesremained unfulfilled.ResetNext I need help on this problem if it's possible can you walk me through how to do it? When you are showing symptoms of a virus, what life cycle are you in? lysogenic or lytic? factorise 36xy-225xy If lucy has a card buiness she has an oder to make 65 cards she makes the same number of cards everyday for 7 days how many cards does she have to make on the last day al comprar una estufa de 5579 le cobran 9%de su costo extra para llevarlo a domicilio cuanto se pagar en total si la estufa ser llevada Please help me STORY WRITERS HELP ME PLEASE Which of the statements below describe how to print a document?