What is an equation of the line that passes through the points (0, 3) and (5, -3)?

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{6}{5} x+3[/tex]  

Step-by-step explanation:

1) First, use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

[tex]m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}[/tex]

So, the slope is [tex]-\frac{6}{5}[/tex].  

2) Now, use the slope-intercept formula [tex]y = mx + b[/tex] to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the [tex]m[/tex] and [tex]b[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{6}{5}[/tex] for it. Since [tex]b[/tex] represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

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


Related Questions

2/3 x 2/3 *Simply your answer if you can

Answers

Answer:

1 and 1/3

Step-by-step explanation:

2 * 2 = 4, 4/3 is 1 and 1 /3

Answer:

4/9

Step-by-step explanation:

Can somebody help me with B. And C. Please

Answers

Answer:

B) $150 for 15 hours

C) 25 hours

Step-by-step explanation:

B) (15, 150)

C) (25, 250)

consider right triangle

Answers

Answer: 2.1

Step-by-step explanation:

Answer: B and D

Step-by-step explanation: 8.3 · cos (90° -75°) , and i cant remember what D was sorry

Khan Academy

On Monday in Minneapolis,Minnesota it’s was 0°F outside. On Tuesday it’s was 15 degrees colder. What was the temperature and Tuesday?

Answers

Answer:

-15º F.

Step-by-step explanation:

Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:

0 - 15 = X

-15 = X

Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.

plz help fast
plz pick a b c or d​

Answers

Answer:

C (H. x=3)

Step-by-step explanation:

It wants a line where both sides are equal. Since the parabola is opening upward, it has to be an x= equation. That rules out F and J. Next you count out the points to the vertex on the x axis, which seems to be 3. This means that the line is x=3, or H(c)

Find the area of the triangle below. Be sure to include the correct unit in your answer. 13cm 5cm 17cm​

Answers

Answer:

42.5 cm²

Step-by-step explanation:

1/2x17x5 = 42.5

fsfdaaffsfsad 598 × 4

Answers

Answer: 2,392

Step-by-step explanation:

Answer:

2392

Step-by-step explanation:

You estimate that your kitchen remodeling project will require an electrician for 30 hours, a plumber for 33 hours and a carpenter for 18 hours . If the electrician charges $34.75 per hour , the plumber charges $30.00 per hour and the carpenter charges $28.65 per hour, what is the expected cost of labor for the project ?

Answers

The answer to this question is

$2,584.20

A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?

A. the number of tickets that the theater will sell If the ticket price is increased by $2

B. the number of tickets the theater will sell if the ticket prices increased by $2n

C.the number of tickets the theater will sell if the ticket price is decreased by $15​

Answers

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

Answer:

The answer is B

Step-by-step explanation:

Please need help on this one h as be no clue how to do this

Answers

Answer:

y = -2x

Step-by-step explanation:

Equation in slope-intercept form is y = mx + b.

m = slope = ∆y/∆x

Using any two points on the line, say (0, 0) and (-20, 40),

Slope (m) = (40 - 0) / (-20 - 0) = 40/-20

Slope (m) = -2

b = y-intercept = the value of y when x = 0.

b = 0

To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b

Thus:

y = -2x + 0

y = -2x

Find the true measurements of the missing angle and show your work

Answers

Answer:

Angle = 45

Step-by-step explanation:

It is half of a right angle also (x = 15) :)

A stack of Nichols has a mass of 45 g there are nine Nichols in the stack what is the mass of one nickel

Answers

Answer:

5 grams for each nickle

Step-by-step explanation:

Brainleiest plz.

I divided 45 and 9 and got 5

can y’all help me please I will mark you brainlist

Answers

Answer:

C: 22

Step-by-step explanation:

So for this problem, I have a very simple method to solve it. Just count the squares. It's as easy as that. The number of full squares I counted were 18, and I saw a little bit here and there, so I rounded the extra pieces to 22.

Use synthetic division to evaluate f(x) = x^3-4x^2+x-8 when x = 2.

Answers

Answer:

=-14

Step-by-step explanation:

Substitute 2 in for x:

Before- x^3-4x- + x-8 ; Now- 2^3 - 4* 2^2 + 2-8=-14

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

Raj has another prism that has dimensions that are each double the dimensions of the first rectangular prism.

How many times greater is the volume of the larger prism than the volume of the smaller one?

Answers

Answer:

8 times

Step-by-step explanation:

The volume of the prism:

V = lwh

If each of the dimensions is doubled, then the volume becomes:

V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

If 6.5 pounds of strawberries cost 20$ what's the unit price?

Pls I’ll give brainlyest

Answers

Answer:

should be 3.07 (when rounded to the nearest  hundredth)

Step-by-step explanation:

Answer: $3.08 per pound of strawberries.

Unit price is 3.08/1

Step-by-step explanation: The unit price is how much 1 point of strawberries cost.

To find the unit price divide 20 by 6.5.

20/6.5 = about $3.08.

The table shows two samples of fish from a pond. If 400 fish are in the pond, which proportion represents the average number of bass you would expect to live in the pond?
(A)StartFraction 14 over 20 EndFraction = StartFraction x over 400 EndFraction
(B)StartFraction 7 over 20 EndFraction = StartFraction 400 over x EndFraction
(C)StartFraction 7 over 20 EndFraction = StartFraction x over 400 EndFraction
(D)StartFraction 20 over 40 EndFraction = StartFraction x over 400 EndFraction

Answers

Answer:

is C

Step-by-step explanation:

because if u do the problem and the fraction it will give u that answer

Answer:

monse856 is right

Step-by-step explanation:

拜託華人救我
我完全不懂這問題
可以幫我嗎?
明天需要提出的作業
謝謝​

Answers

Answer: 謝謝

Step-by-step explanation:

plz quick solve for f

Answers

Answer: f = 100

Step 1.

We'll need to expand 3(f - 91) by multiplying a term and an expression. The following product distributive property will be used: A(B + C) = AB + AC.

In the example, the expression will consist of 2 terms.

First term: 3 and f.

Second term: 3 and -91

Rewrite 3(f - 91) like this.

3f - 3 × 91

Step 2.

Multiply 3 by 91.

3 × 91 = 273

Hence, the answer is 100.

Solve the equation using the Zero-Product Property. (x - 8)(5x - 6) = 0

Answers

Answer: 1.2 or 5 (there’s two solutions)

Step-by-step explanation:)

6cm
4cm
Determine the area of the composite figure to the nearest whole number.
A)
26 cm2
B)
38 cm
46 cm
D)
85 cm2

Answers

Answer:

A

Step-by-step explanation:

Area of the composite figure= 6cm×4cm

= 24cm²

PLEASE MARK BRAINLIEST.

Answer:

A

Step-by-step explanation:

I took the test

a student earns $70 over the summer and he spends 1/5 of the total amount on movies. He then spends 1/2 of the remaining money on school clothes.

how much money is left?

Answers

Answer:

$28

Step-by-step explanation:

1/5 of $70 is 14 . so $70 - $14 is $56

1/2 of $56 is $28

Hope this helps x

y
What is the equation in standard form of the line shown
on the graph?
The equation of the line in standard form is
4
2.
-4
-2.
2
4
-2.

Answers

9514 1404 393

Answer:

  3x -4y = 12

Step-by-step explanation:

The x- and y-intercepts are easily read from the graph as 4 and -3, respectively. Then the intercept form of the equation of the line is ...

  x/(x-intercept) +y/(y-intercept) = 1

  x/4 +y/(-3) = 1

Multiplying by 12 will clear the fractions and give the standard form:

  3x -4y = 12

Hellppp plzzz!
Given right triangle DEF, what is the value of cos(F)?​

Answers

The answer to this is A

Dude it is A!!!!!!!!!!!!!!!!!!

The sale price of a diving board is $213. What was the original price if it was 25% off?

Answers

If the original price was 25% off then it would be $284

3. ¿Cuál es el peso de un (dm) de agua?

Answers

La densidad es una magnitud física que se refiere a la relación que hay entre la masa y el volumen de una sustancia, es decir, la cantidad de materia que tiene un cuerpo en una unidad de volumen, o para hacerlo más sencillo, la acumulación de una gran cantidad de elementos o individuos en un espacio determinado.

Para los líquidos y los sólidos, la densidad de referencia habitual es la del agua líquida de 1 kg/dm³, esto quiere decir que 1 kg de agua tiene un volumen de 1 dm³, por tanto, podemos determinar el peso de 1 cm³ de agua de la siguiente manera:

En 1 kg de agua ---> Hay 1 dm³ de volumen

Si... 1000 g (Que equivalen a 1 Kg) ---> 1000 cm³ (Que equivalen a 1 dm³)
X ---> 1 cm³

X = 1 cm³ x 1000 g ÷ 1000 cm³
X = 1 g

Por tanto, si el agua es lo suficientemente pura para tener una densidad de 1 Kg/dm³, el peso de 1 cm³ de agua es de 1 gramo.

Today, everything at a store is on sale. The store
offers a 20% discount. The regular price of a T-shirt is
$20.
How much money would you save today on the shirt?

Answers

Answer:

you would save 4$

Step-by-step explanation:

I have a few question:
Calculate the following (compound annually): $62,500 at 3.4% for 3 years, calculate the following (compounded annually): $5,000 at 1.5% for 4 years, Calculate the following using simple interest:$2,000 at 7.8% for 15 years, and lastly, Calculate the following at 1.8% for 8 years. (please show me how you did it step-by-step)

Answers

Step-by-step explanation:

simple interest

I=prt

I= 2000×(7.8/100)×15

I=2340

Help plzz will mark brainlist

Answers

Answer:

the top one!

Step-by-step explanation:

In isosceles triangle NTS, NT ≌ TS. If m∠N = 42° and NS = 30 cm, find the length of the altitude of △NTS. (Round answer to the nearest tenth.)

Answers

Answer:

13.5 cm

Step-by-step explanation:

The altitude of the base of the isosceles triangle bisects the vertex angle, <T, and also bisects the base, NS.

Therefore, NS is divide into two, 15 cm each.

This means we now have two right triangles from the isosceles triangle with the following:

Reference angle = 42°

Opposite = altitude = h

Adjacent = 15 cm

To find h, apply trigonometric function, TOA:

Tan 42 = Opp/Adj

Tan 42 = h/15

15 * Tan 42 = h

h = 13.5060607 ≈ 13.5 cm (nearest tenth)