All categories

2 years ago

A line passes through the point (-3,-3) and has a slope of 1/2 what is the equation of the line ?

Mathematics

1 answer:

Bezzdna [24]2 years ago

7 0

Answer:

y = 1/2x -1.5

Step-by-step explanation:

The equation of a line is typically written as y = mx + b.

m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.

Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.

y = 1/2x + b

In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.

-3 = 1/2(-3) + b

One half of -3 is -1.5.

-3 = -1.5 + b

Add -1.5 to both sides of the equation.

-3 = -1.5 + b

+1.5 +1.5

-1.5 = b

Since we found the y-intercept, we can now place it into our equation.

y = 1/2x -1.5 and that's the answer!

You might be interested in

The Burj Khalifa, the tallest building in the world with 163 floors, is having problems with its air conditoning system. It is s

LuckyWell [14K]

This question was already asked so I will put the answer here.

The correct answer is letter (B) {1,2,3,4,...,163}.The burj khalifa the tallest building in the world with 163 floors, is having problems with is air conditioning system. It is suspected that thedifference is air pressure between the first floor and the top floor is the problem. normal pressure for the bottom floor is 14.7psi. a building engineer uses the function p to analyse pressure p(f) represents the pressure on each floor, where f is the floor number.

7 0

2 years ago

Read 2 more answers

How do you solve this

V125BC [204]

You add the number From the cube

8 0

2 years ago

Select the correct answer. Rewrite the following expression.

kolezko [41]

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of algebraic properties to simplify a given expression:

$x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}$ (1)

$x^{m+n} = x^{m}\cdot x^{n}$ (2)

$x^{m\cdot n} = \left(x^{m}\right)^{n} = \left(x^{n}\right)^{m}$ (3)

Where:

m, n - Exponents
x - Base

And also by apply the definition of power.

If we know that the given expression is $x^{10/3}$ , then the equivalent expression is:

$x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}$

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773

7 0

1 year ago

What is the median of the data? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 A. 15 B. 17 C. 14 D. 16

I am Lyosha [343]

All you need to do is put them in order least to great and find center number
if theres two then you just add both of them up and divide by 2
and the median is 14

6 0

3 years ago

Read 2 more answers

You are going to rent a car to drive while you are on vacation. There are two car rental packages for you to choose from. The fi

dangina [55]

Answer:

E. 45 miles

Step-by-step explanation:

The difference between the packages is $20. You would need to drive at least 40 miles since 40(0.5) =$20. The best answer is E. 45 miles

7 0

2 years ago