What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)​​

Answers

Answer 1

Answer:

The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9) ⇒ B

Step-by-step explanation:

The slope-point form of the linear equation is

y - y1 = m(x - x1), where

m is the slope of the line(x1, y1) are the coordinates of a point lie on the line

∵ The slope of a line is [tex]\frac{5}{6}[/tex]

∴ m = [tex]\frac{5}{6}[/tex]

∵ The line passes through point (-9, 12)

∴ x1 = -9 and y1 = 12

→ Substitute these values in the form of the equation above

∵ y - 12 = [tex]\frac{5}{6}[/tex] (x - -9)

→ Remember (-)(-) = (+)

∴ y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

∴ The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)


Related Questions

PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))

TY

Answers

Answer:

nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank

Step-by-step explanation:

Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.

Answers

Answer:

son $23.345 creo que si espero que si sea

If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1

Answers

Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10

its 10 ok that was easy sorry i need 20 characters

A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 

Answers

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area

Answers

Answer:

1800 bricks

Step-by-step explanation:

Given

Sidewalk = 100ft by 4ft

Brick = 8 inches by 4 inches

Required

Determine the minimum number of bricks

First, we need to determine the area of both;

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Number of bricks is calculated as follows;

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert ft^2 to in^2

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?

Answers

Answer:

About 9 kilometers

Step-by-step explanation:

15x.6= 9

Answer: x = 9

Step-by-step explanation:

I’ll use x as the number of kilometers Emma bikes

1/0.6 = 15/x - set up proportion

1x = 9 cross products

x = 9 - divide both sides by 1 and you get 9

Determine whether the pair of lines is parallel, perpendicular, or neither.
x - 4y = -9
y = 6x - 7

Answers

They’re both linear I think I’m not to sure

Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?

Answers

Answer: 19 weeks.

Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.

Answer:

19 weeks

Step-by-step explanation:

600=25x+125  

x=19

Which statement is true for the values of P and Q on this number line? P Q + + + + -2 -1 0 1 -6 -5 -4 لی A) ?>4 (B) PxQ< 5 CP+Q>-4 D P-Q > 0​

Answers

Answer: B

Step-by-step explanation:

Simplify the expression
16+(-3)-3/7j-5/7j+4​

Answers

the simplified version is
119j-8/7j

Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve

Answers

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64


Rewrite the expression using a single, positive exponent: 9^3/9^9

Answers

Answer:

9⁻⁶

Step-by-step explanation:

When you're dividing, you subtract the exponents. So, 3-9=-6.

The expression 9³ / 9⁹ can be written as 9⁻⁶.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is 9³ / 9⁹. The expression can be solved as below:-

E = 9³ / 9⁹

E =  9³ x 9⁻⁹

E = 9³⁻⁹

E = 9⁻⁶

Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.

To know more about an expression follow

https://brainly.com/question/8844911

#SPJ2

how do i find the area of a triangle​

Answers

Answer:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.

Step-by-step explanation:

If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99

Answers

Answer:

Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.

Step-by-step explanation:

Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5

Answers

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy ​

Answers

The dog ate 16 pounds of food

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️

Please help with 5-8 with working out please thanks , it’s due ASAP

Answers

Answer:

I can only help with 5 and 6 which both are A.

Explanation:

that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.

determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?

Answers

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

3x-5=x+1



Helpppppppppppp

Answers

Answer:

your answer is x= 3

Hope this helps!

First you subtract 3x-x since they are like terms turning the equation into 2x-5=1. Then you add 5+1 because they are like terms making the equation 2x=6. Last you divide 6/2 to get x=3


Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28

Answers

your answer is b(4,6) explain: hajsjsjdjjshahshshsjsjsjjsjsjsjsjsjsjsjjsjsjsjs
The factor pairs are:
D (1,24)
B (4,6)
Because:
1 x 24 = 24
6 x 4 = 24

Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1

Answers

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

17+7j=87
What does j equal???????

Answers

if i’m not mistaking it’s j = 10

Answer:

j=10

Step-by-step explanation:

17+7j=87

7j=70

j=10

Ashley and her sisters decide to split the cost of dinner, which is $26. By how much you will each sisters bank account be impacted

Answers

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Rewrite by completing the square 2x^2+7x+6=0

Answers

Answer:

[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

can someone help please

Answers

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

the answer is a tissue

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.

Answers

Answer:

30slices

Step-by-step explanation:

given data

cost of pizza $7.5

cost of delivery=$14

let the the number of pizza be p

let the total cost of x pizza be y

the expression for the total cost of x pizza is

y=7.5+14p

given that y=$60

60=7.5+14p

solving for x we have

14p=60-7.5

14p=52.5

p=52.5/14

p=3.75

therefore the total slices is

3.75*8= 30slices

8p+5=-6p+1 what's the answer to this equation?​

Answers

Answer:

-2/7

Step-by-step explanation:

2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only

Answers

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spend?

Answers

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

Answer:

Her mom spent $11

Step-by-step explanation:

$20-9= $11

How many 3/20 inch lengths are in 5 2/5 inches?

Answers

Answer:

0.81

Step-by-step explanation:

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