1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnesinka [82]
3 years ago
8

What is the equation of a line that passes through the point (2, 4) and has a y-intercept at y = -10?

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

The equation of the line is y = 7x - 10

Step-by-step explanation:

* Lets revise the form of the equation

- The form of the equation of a line is y = mx + c , where m is the slope

  of the line and c is the y-intercept

- The y-intercept means the line intersect the y-axis at point (0 , c)

- The slope of the line which passes through points (x1 , y1) , (x2 , y2)

 is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets solve the problem

∵ The y-intercept is y = -10

∴ The line intersects the y-axis at point (0 , -10)

∵ The line passes through the points (2 , 4) and (0 , -10)

- Lets find the slope of the line using the rule of the slope above

∵ m=\frac{-10-4}{0-2}=\frac{-14}{-2}=7

∴ The slope of the line is 7

∵ c is the y-intercept

∵ The y-intercept is y = -10

∴ c = -10

∵ y = mx + c

∴ y = 7x + -10

∴ y = 7x - 10

* The equation of the line is y = 7x - 10

You might be interested in
Need help with math probelm if do 5 stars and brainly points
PtichkaEL [24]

Step-by-step explanation:

let's first convert feet to inches

4 ft = 48 inches ( width )

6.5 ft = 78 inches ( length )

12.5 ft = 150 inches ( height )

each cube is 1/4 x 1/4 x 1/4

x-axis ( length )

78 ÷ 1/4 = 78 x 4 = 312 cubes

y-axis ( width )

48 x 4 = 192 cubes

z-axis ( height )

150 x 4 = 600 cubes

the total number of cubes fit in the closet is :

312 x 192 x 600 = 35,942,400 cubes

6 0
2 years ago
Choose the best estimate for the mass of a raisin.
sammy [17]

Answer:

A) 0.2g

Step-by-step explanation:

{.}

7 0
2 years ago
Read 2 more answers
The mixed number 9 14/100 is equivalent to 9.14.
aev [14]
Your answer is True !:)
8 0
3 years ago
Read 2 more answers
Plsssssssssssssssssss​
tigry1 [53]

Answer: y=4x+7 is the equation

5 0
3 years ago
Determine whether the variable is qualitative or quantitative.
Oduvanchick [21]

Answer:

Qualitative variable

A. The variable is qualitative because it is an attribute characteristic.

<h2>What are Quantitative and Qualitative variables?</h2>

A qualitative variable is one in which the "true" or naturally occurring levels or categories taken by that variable are not described as numbers but rather by verbal groupings.

  • Example: levels or categories of hair color (black, brown, blond)

A quantitative variable on the other hand are those in which the natural levels take on certain quantities (e.g. price, travel time)

  • That is, quantitative variables are measured in some numerical unit (eg. pesos, minutes, inches, etc.)

<h2>How is hair color a qualitative variable?</h2>

Because hair color is a categorical variable, it is a qualitative variable too. This is because hair color can be put into different categories depending on the color of someone or something's hair. Someone could have blond, brown, or black hair; they might even have red hair. It's all different and are attributed characteristic, they are all put into different categories, but can only be measured statistically while remaining constant (with different amounts).

<h2>What is a numerical variable and what is a categorical variable?</h2>

A categorical variable is a category or type. For example, hair color is a categorical value or hometown is a categorical variable. Species, treatment type, and gender are all categorical variables.

A numerical variable is a variable where the measurement or number has a numerical meaning. For example, total rainfall measured in inches is a numerical value, heart rate is a numerical value, number of cheeseburgers consumed in an hour is a numerical value.

<em>A categorical variable can be expressed as a number for the purpose of statistics, but these numbers do not have the same meaning as a numerical value. </em>For example, if I am studying the effects of three different medications on an illness, I may name the three different medicines, medicine 1, medicine 2, and medicine 3. However, medicine three is not greater, or stronger, or faster than medicine one. These numbers are not meaningful.

Learn more about qualitative and quantitative variables:

  • brainly.com/question/14037311
  • brainly.com/question/17226865

#SPJ2

7 0
2 years ago
Other questions:
  • PLEASE TELL ME HOW YOU GOT THE ANSWER!!!!!
    14·1 answer
  • Jenny makes food for her hummingbird feeders. The food is made up of 1 part sugar and 4 parts water. She uses 34 cup of sugar to
    5·2 answers
  • Simplify the expression <br><br> √10 -4 √10<br><br> Please don’t guess
    6·1 answer
  • Convert a 30% markup percent on cost to markup percent on selling price. (Round to the nearest hundredth percent.)
    5·1 answer
  • the width of a rectangle is 11 units less than the length. if the area is 152 square units, find the dimensions of the rectangle
    15·1 answer
  • The set of natural numbers is: infinite finite
    6·2 answers
  • Identify the initial amount a and the rate of decay r (as a percent) of the exponential function h (t) = 1250(0.865)'. Evaluate
    8·2 answers
  • Look at the prism
    10·2 answers
  • Lydia is playing Galaxy 8RX. After three misses, the game is over. Last week, Lydia kept track of how long her games lasted. Hse
    8·1 answer
  • Pls help thanks!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!