Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

Name: Solved: Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1 - MathMaster
Brand: MathMaster
Rating: 4.9 (200 reviews)

200

likes

1001 views

Answer to a math question Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

$Expert avatar$

Hermann

4.6

128 Answers

1. Substitute

x=3

into the line equation

y=2x+1

y = 2(3) + 1 = 6 + 1 = 7

2. Compare

y=7

with the

coordinate of the point, which is

.

3. Since

4 < 7

, the point

(3,4)

is below the line.

Answer: The point

(3,4)

is located in the lower half-plane.

Frequently asked questions (FAQs)

What are the characteristics of the circle function with equation x^2 + y^2 = r^2? Provide a detailed explanation including its center, radius, and properties related to symmetry, intercepts, and graph shape.

What is the square root of x when x is 25?

What is the length of the altitude of a right triangle with a hypotenuse of 10cm?

New questions in Mathematics

Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)

One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

x/20*100

The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?

A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.

15/5+7-5