What is the equation of the line that passes through the point (-4, -7) and has a
slope of 2/3 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

(-4 , -7) ; slope = (2/3)

y -y1 =m(x-x1)

[tex]y -[-7]=\frac{2}{3}(x-[4])\\\\y+7 = \frac{2}{3}(x+4)\\\\y+7=\frac{2}{3}x+4*\frac{2}{3}\\\\y +7 = \frac{2}{3}x+\frac{8}{3}\\\\y=\frac{2}{3}x+\frac{8}{3}-7\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{7*3}{1*3}\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{21}{3}\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]


Related Questions

Factorize (4y-5)²+80y ​

Answers

Answer:

16y^2+40y+25

Step-by-step explanation:

[tex] {16y}^{2} + 40y + 25[/tex]

Step-by-step explanation:

(4y−5)^2+80y

Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.

16y^2−40y+25+80y

Combine −40y and 80y to get 40y.

16y^2+40y+25

What is the number which is one third as big as n​

Answers

Answer
1/3•x=n
If number is x
x=?

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(in degrees)

x = 15.09478709

Step-by-step explanation:

sin(x) = 25/96

A motor cyclist makes a trip of 500km. If he had increased his speed by 10kmh-1, he could have covered 600km in the same time. What was the original speed?

Answers

Answer:

the original speed is 50 km/h

Step-by-step explanation:

Let us assume the original speed be x

and fastest speed be (x+ 10)

Now here apply the time formula

i.e. distance by the speed

Original time = Fastest time

500 ÷ x = 600 ÷ x + 10

Now do cross multiplication

600x = 500(x + 10)

600x = 500x + 5000

100x = 5000

x = 50 km/h

Hence, the original speed is 50 km/h

Determine a relationship between the x- and y-values. Write an equation x:1, 2, 3, 4 y:-2, -4, -6, -8

Answers

Answer:

y = 2x + 0

Step-by-step explanation:

Using a linear relationship calculator, where ;

X ____ Y

1 ____ - 2

2 ___ - 4

3 ___ - 6

4 ___ - 8

The equation of line of best fit obtained is :

y = 2x + 0 ;

Where

slope = 2 ; intercept = 0

Determine if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

d) AAS

Step-by-step explanation:

The angles shared where the triangles share a vertex are equal. Thus Angle-Angle-Side proves congruency.

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

put into y=mx+b form y= -2/3x-5

Answer:

[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]

Step-by-step explanation:

I hope this helps

have a nice day!! :)

Write the equation of each line in slope-intercept form and identify the slope. 4x=2+y

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

Given: 4x=2+y

First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)

Once subtracted, you get: 4x-2=y

Rearrange it, and you get: y=4x-2

Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices find the unit rate for each and choose the better deal.

Answers

Answer:

Sargento cheese slices are the better deal

Sargento cheese slices $2.48 for 10 slices = 0.248 per slice

Velveeta cheese slices $3.18 for 12 slices = 0.265 per slice

Step-by-step explanation:

The unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Given that,
Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Sargento cheese slices, unit rate = 2.48/10 = $0.24
Velveeta cheese slices , unit rate = 3.18/12 = $0.26
From above Sargento cheese slices, is cheaper than  Velveeta cheese slices.

Thus, the unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5



What is 0.65625 Rounded to the nearest tenth of a percent?
Please help!!

Answers

Answer:

hi

Step-by-step explanation:

i’ll mark the brainliest for the correct answer, please just help me

Answers

Answer:

B, A.

Step-by-step explanation:

The answer is A! Good luck

Answer this for me please!

Answers

Local Max: x=3
Local Min: x=-9

In UVW, the measure of W=90°, VW = 29 feet, and UV = 69 feet. Find the
measure of ZU to the nearest degree.

Answers

Answer: 25°

Step-by-step explanation: deltamath

2. A spelunker is down in a cave next to the cliff. If she
climbs down deeper into the cave, this will be a
negative change. If she climbs up, whether inside the
cave or out of the cave and up the cliff, this will be a
positive change.
Complete the table.
starting
elevation
(feet)
change
(feet)
final
elevation
(feet)
Correct?
А
- 200
150 down
-350
B
- 200
100 up
-100
С
-200
200 up
0
x < < < <
D
-200
250 up
50
E
200
500

Answers

Change the feet with positive results

HELP ! In right triangle RST, measure of angle S = 90° and measure of angle R ≠ measure of angle T. If cos(R) = a and sin(R) = b, which is equal to cos(T)/sin(T)?

The choices are

a+b
a-b
b-a
ab
a/b
b/a

Answers

i’m honestly not sure sorry but good luck, it might be ab but i don’t know

Help I will Give Brainliest if Correct!

Answers

Answer:

8.5 units

Step-by-step explanation:

(-1, 1) squared + (7,4) squared = formula

Distance 8.5 is rounded to the nearest 10

what is the slope in this equation y=10+3x​

Answers

Answer:

the slope is 3

Step-by-step explanation:

the slope (m) would be 3

What's the area and the perimeter of rectangle ABDC shown in the coordinate plane?
Question 2 options:

A)

Area = 32 square units; perimeter = 24 units

B)

Area = 24 units; perimeter = 32 square units

C)

Area = 24 square units; perimeter = 32 units

D)

Area = 32 units; perimeter = 24 square units

Answers

B. The perimeter is 24 units and the area is 32 square units.

i need help what does this equal to?
Write the quadratic equation in standard form: 5x^2-7x-13=-3

Answers

Answer:

x=\frac{7+\sqrt{249}}{10},\:x=\frac{7-\sqrt{249}}{10}

Step-by-step explanation:

Answer:

f(x) = 5x^2−7x−10

Step-by-step explanation:

Quadratic equation standard form is f(x) = ax^2 +bx + c . All you had to do was add 3 to both sides of the equation to change this into standard form. :)

Emily made $12.50 selling lemonade for 2 hours. If Emily wants to save $100, approximately how many hours would she need to sell lemonade?

Answers

Answer:

she needs to work 16 hours

One month Isabel rented 5 movies and 2 video games for a total of $18. The next month she rented 3 movies and 8 video games for a total of $55. Find the
rental cost for each movie and each video game.
X
?
Rental cost for each movie: $[]
Rental cost for each video game: s]

Answers

Answer:

video=$6.5

moive=$1

Step-by-step explanation:

5m+2v=18, 3m+8v=55

5m+2v=18

2v=18-5m

v=9-2.5m

plug (v=9-2.5m) in (3m+8v=55)

3m+8v=55

3m+8(9-2.5m)=55

3m+72-20=55

-17m=-17

m=1

plug (m=1) in (v=9-2.5m)

v=9-2.5m

v=9-2.5*1

v=6.5

Give brillianst please!!!!!!

Can anybody help me with this question i really need help on

Answers

Answer: 4

Step-by-step explanation:

10 x 4 = 40

11 x4 = 44

18 x 4 = 72

Find the simple Interest
I=?
P=$1300
R= 5%
T=6 years
$390
$1690
O $39000



i need help...

Answers

Answer:

$390 is the correct answer

Answer:

390

Step-by-step explanation:

(1300)(.05)(6) = 390

analisis School 4 out of 10 students choose basketball as a sport like to watch and three out of five students choose football is the ratio of students who choose basketball for 2 to 10 equivalent to the ratio of students who chose football 3 to 25. Yes or No​

Answers

Answer:

Pos sabe aaaaaaaaaaaaaaaaaaaaaaaa

Find the sum of the first 30 terms of the following series, to the nearest integer.
2, 8, 14, ...

Answers

Answer:

a= 2

d= 6

n=30

sum= n/2[2a+(n-1)x d]

30/2[ 2x2 + (30-1) x 6]

15 [ 4 +29 x6]

15x 178

= 2670

hope it helps you

mark me as brainliest

The area of a circular garden is 254.34 ft. Which of the following could be the approximate diameter of the garden?

Answers

If any of the possible answers are close to 18 that’s probably it.

when the short hand of a clock moves through 12 o clock to 3 o'clock what angle is formed

Answers

Answer:

90* angle or also called a right angle.

Step-by-step explanation:

URGENT HELP (picture says everything you need to know)

Answers

Answer:

I believe the quiz had 18 questions, with a 14:4 ratio

A dinner at a restaurant was advertised at $60.00 plus 18%tax . The total bill for this dinner was.​

Answers

Answer:

$70.80

Step-by-step explanation:

18%=0.18----Covert the percentage as a decimal

60*0.18=10.80----Multiply the dinner cost by the decimal as tax

$10.80+$60.00=$70.80----Add the last number and the price of the dinner to get your total of $70.80.

Have a good day! I hoped this helped

what is the area of the triangle ​

Answers

3 I think because it has three side
I might get it wrong but I’m just trying

Answer:

4 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A= [tex]\frac{1}2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4 and h = 2 , then

A = [tex]\frac{1}{2}[/tex] × 4 × 2 = 2 × 2 = 4 units²

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