Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and
slope-intercept form.

Answers

Answer 1
Answer:

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

For slope:

[tex]m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7[/tex]

Slope (m) = 7

For y-intercept:

[tex]5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b[/tex]

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

[tex]y= 7x + 26\\\\y - 5 = 7(x + 3)[/tex]

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

Point-slope form: y - y₁ = m(x - x₁)

*Note: (x₁, y₁), (x₂, y₂) = 2 points on the line


Related Questions

A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 28 mocha and
52 chocolate. What percent of the cupcakes sold that day were mocha?

Answers

Answer:

35% of the cupcakes were Mocha.

Step-by-step explanation:

So, 28 + 52 = 80 which means the question is: 28 is what percent % of 80? And 28 is 35% of 80. Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Remwmber to focus on the positive and give me a follow! ;) Bye!

Which equation is equivalent to 6 + 3(x + 4) = 13

Answers

Hello,

The correct answer is x = -5/3
Alternate forms: x = 1 2/3, x = 1.6

Step-by-step:

Remove parentheses

6 + 3x + 12 = 13

Add the numbers

18 + 3x = 13

Move constant to the right

3x = 13 - 18

Calculate the difference

3x = -5

Divide both sides

x= -5/3

Hope this helps!
Brainliest?

What is the y-intercept of the function?

Answers

Answer:

-5

Step-by-step explanation:

How many solutions does this equation have
6x + 2x - 4= 4(2x - 1)

Answers

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

6x + 2x - 4 = 4 ( 2x - 1 )         Equation

Step 2:

8x - 4 = 8x - 4          Combine Like Terms

Step 3:

8x = 8x         Add 4 on both sides

Answer:

All Real Numbers

Hope This Helps :)

PLS HELP! ASAP!

Find the value of x in the triangle below

Answers

Answer:

the answer is 56

Step-by-step explanation:

because it is an equilateral triangle the other side is 62 so you add 62+62=124 180-124=56

in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the club, how many more students does the club need

Answers

Answer: 5 more students need to sign up.

simplify the following equation.
y-3=5/7(x-14)
im desperate

Answers

Answer:

5x/7-7

Step-by-step explanation:

your welcome , tell me if I'm wrong

30 POINTS PLEASE PLEASE PLEASE HELP VERY IMPORTANT ‼️‼️‼️‼️‼️Every spring, Colin plants colorful flowers in his garden. This year, he decides to plant
petunias. He buys them at the garden store, brings them back home, and starts planting.
There is a proportional relationship between the amount of time (in minutes) Colin has been
working in his garden, x, and the number of petunias he has planted, y.
x (minutes) y (petunias)
9
11
16
20
16
20
What is the constant of proportionality? Write your answer as a whole number or decimal.
petunias per minute

Answers

Answer:

1 per minute

Step-by-step explanation:

9 min = 9 petunias

11 min = 11 petunias

so on and so forth

A ball is thrown from the top row of seats in a stadium. The function h(t)=-16t2+48t+160 gives the height, t, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?

Answers

Answer:

t = 5 s

Step-by-step explanation:

The function that gives the height in feet of the ball t seconds after it is thrown is :

[tex]h(t)=-16t^2+48t+160[/tex]

We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.

So,

[tex]-16t^2+48t+160=0[/tex]

We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.

t = -2 s is not possible.

Hence, the ball will hit the ground before 5 seconds.

Estimate 5,860÷2.1≈
i really need help on it.

Answers

Answer: it 2790

Step-by-step explanation:

The value of 5,860÷2.1 is 2790.

What is division?

In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.

What are the terminologies used in the division?

dividend, divisor, quotient remainder.

Learn more about division here: https://brainly.com/question/25289437

#SPJ2

5. What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2?

Answers

Answer:

14x-2

Step-by-step explanation:

In order to find the perimeter we need to add the length and width together. So adding 5x and 9x gives us 14x. -4+2=-2

The perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2 is, 28x-4

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

length of rectangle = 9x - 4

width of  rectangle =  5x+2

As we know,

Perimeter = Sum of length of the all the sides

Perimeter =  (9x - 4) + (5x+2) + (5x+2) + (9x - 4)  

Perimeter =  28x-4

Hence, The perimeter is  28x-4

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ2

CAN SOMEONE HELP ME PLEASE

Answers

No I can not ask nicer

Need help plsss
Question is below

Answers

Answer:

Step-by-step ex

its 0.2

Find the value of X

Answers

Answer:

should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees

the total angle is 180.

50 + 50 + x = 180

thus , x = 80

1. Lauren’s scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?

2. Twice an integer increased by 6 is less than 48.

A. Write an inequality.





B. What is the largest integer this could be?

Answers

Answer:A

Step-by-step explanation:

If 28 strawberries make 4 smoothies how many smoothies make 70 strawberries

Answers

28 ......> 4

70........> x

28x=4(70)

28x=280

X=10

Answer:

i think 10 im not sure dont go for my answer. because i did 70÷7=10 because 28÷4=7

In the following expressions identify the leading coefficiant and constant term for each:
5x{little corner 2} - 10
and
-x{little corner 2} - 10x + 2

Answers

y^2 my teach taught me this last year

The ages of ten employees at a small company are shown below.

30, 32, 35, 35, 38, 38, 38, 40, 40, 45

If the data set were expanded to include a new employee who is 20 years old, how would the mean of the data set change?

A) The mean decreases by 2 years.
B) The mean decreases by about I .6 years.
C) The mean increases by about 1.6 years.
D) The mean does not change.

Answers

Answer:

B

Step-by-step explanation:

Before you add 20 the mean is 37.1 after you add 20 it’s 35.54.

37.1-35.54=1.56

Round 1.56 to 1.6

CAN ANYONE HELP ME PLSS?

Answers

Answer: The domain is the 3rd answer

Step-by-step explanation:

what is the answer to this question some one please help me (7−b)+(3b+2)

Answers

Answer:2b+9

Step-by-step explanation:

2b+9. first rearrange. then combine like terms

............Find .....X......

Answers

Answer:

x=50

Step-by-step explanation:

(x-10)+x+90=180

2x-10+90=180

2x+80=180

2x=100

x=50

looking from the picture it would be 50

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

the question is in the picture. will give brainilist.​

Answers

Step-by-step explanation:

They are perpendicular

PLEASE HELP ASAP!?!?!?

Answers

Answer:

i only did the second one!

but i am still trying to solve the first.

Hope I am correct! please forgive me if this is wrong!

I did also the first one!

Anna made and sold x ceramic vases one week. Her profit, P, in dollars is calculated using the formula P = R - C . Where R represents her revenue and C represents her costs. If R = 25x - 0.5x ^ 2 C = 100 + 5x which expression represents her profit in dollars?

Answers

Answer:

-0.5x² + 20x + 100

Step-by-step explanation:

Given:

R = 25x - 0.5x²

C = 100 + 5x

P = R - C

Where,

P = profits

R = Revenue

C = Cost

which expression represents her profit in dollars?

P = R - C

R = 25x - 0.5x²

C = 100 + 5x

= 25x - 0.5x² -(-100 + 5x )

= 25x - 0.5x² + 100 - 5x

= -0.5x² + 20x + 100

The expression which represents her profit in dollars is -0.5x² + 20x + 100

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

-5

Step-by-step explanation:

[tex]f(x) = - 5 \\ \\ plug \: x = - 4 \\ \\ f( - 4) = - 5[/tex]

Since it is constant function so the value will remain unchanged.

Rylee saved $9 on a $60 pair of
shoes. What percent did she save?

Answers

Answer:

Answer is %15

Step-by-step explanation:

9/60 = 0.15

= >0.15 * 100 = 0.15

1+1??????????????????????????????????????????

Answers

Answer: 2

Step-by-step explanation: 1+1=2

Answer:

1+1=2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1. which of these is the correct order of the rational numbers from greatest to least ?

A: 5/2, 1, 3/4, 1/2
B: 3/4, 1/2, 5/2, 1
C: 5/2. 1, 1/2, 3/4
D: 1/2, 5/2, 3/4, 1

2. which of these is the correct order of the rational numbers from greatest to least ?

A: 0.34, 3.5, 0.82, 0.57
B: 3.5, 0.82, 0.57, 0.34
C: 0.82, 0.57, 3.5, 0.34
D : 0.57, 3.5, 0.82, 0.34

PLS HELP !

Answers

Step-by-step explanation:

AB

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

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