All categories

3 years ago

Find the equation of a line passing through (3,4) and slope of -2

Mathematics

2 answers:

guapka [62]3 years ago

3 0

Answer: 2x + y = 10

Step-by-step explanation: When we're given a point and a slope, we can use the point-slope formula to write the equation of a line.

The point-slope formula is y - y₁ = m(x - x₁).

Now we can substitute our point and our slope into the formula.

y - 4 = -2(x - 3)

~distribute

y - 4 = -2x + 6

~isolate y

y = -2x + 10

~put into standard form

2x + y = 10

Orlov [11]3 years ago

3 0

Answer:

y=-2x+10

Step-by-step explanation:

To find the equation in forms of y=mx+b, first we must put in the slope(or m) which is -2, so we have:

y = -2x+b

Now, we can find the y intercept(or b) by plugging in our x and y values that the line passes through:

4 = -2(3)+b

4=-6 + b

10 = b so we have y = -2x+10

You might be interested in

Que son nuemros racionales y que son numeros irracionales? [con ejemplos]

Ivenika [448]

Answer:

El conjunto de los números reales está conformado por el conjunto de los números racionales y por el conjunto de los números irracionales. Son conjuntos disjuntos entre si. ... Un número es racional si puede ser representado como el cociente de dos números enteros.

Step-by-step explanation:

7 0

3 years ago

. Noel buys 12 balloons and 35 paper cups for his birthday party. What is the ratio of balloons to paper cups? 3.

Varvara68 [4.7K]

Answer:

12:35

Step-by-step explanation:

7 0

2 years ago

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl

Tju [1.3M]

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

$y=24.00+2.25x$ ---------> equation $1$

Second Jet Sky Company

$y=23.00+2.50x$ ---------> equation $2$

we know that

To find the number of hours for which the costs are the same

equate equation $1$ and equation $2$

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure

the intersection point is $(4,33)$

That means

For $x=4\ hours$

the cost of the rent is $y=\$33$ in both companies

therefore

the answer is

$4\ hours$

7 0

3 years ago

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on

Step2247 [10]

Answer:

The force is 12 N

Step-by-step explanation:

* Lets explain how to solve the problem

- Direct variation is a relationship between two variables that can

be expressed by an equation in which one variable is equal to a

constant times the other

- If y ∝ x , then y = kx , where k is the constant of variation

* Lets solve the problem

- The force acting on the object varies directly with the object's

acceleration

∵ The force is F in newtons and a is the acceleration is m/s²

∴ F ∝ a

∴ F = ka

- To find k substitute F and a by the initial values of them

∵ A force of 10 N acts on a certain object, the acceleration of the

object is 5 m/s²

∵ F = 10 N when a = 5 m/s²

∵ F = ka

∴ 10 = k(5)

- Divide both sides by 5

∴ K = 2

- Substitute the value of k in the equation

∴ F = 2a

- Lets find the force when the acceleration is 6 m/s²

∵ a = 6 m/s²

∴ F = 2(6) = 12

* The force is 12 N

5 0

3 years ago

How to change percentage into fraction

Studentka2010 [4]

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this: percent 100.

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction

8 0

3 years ago