![jagger68](/avatars/294.jpg)
jagger68
09.03.2020 •
Mathematics
Which is an equation of the line that contains the points (0,2) (4,0)
Solved
Show answers
More tips
- H Health and Medicine What was the Invention of Viagra?...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics i will do anything i need help with this quiz, its only ten questions but i dont know what im doing help me pleaseee...
- M Mathematics Explain what s a greatest common factor. and solve this wander with explanation....
- M Mathematics I will give brainliest please help...
- M Mathematics One winter morning, the temperature was -2°c. By 11:00 A.M., the temperature had decreased by 3º. At 4:00 P.M., the temperature reached oºc. What integer represents the temperature...
- M Mathematics There is a fixed cost of $4325 in starting a widget business and it also costs $24 to produce each widget. Write a function to describe the total cost of producing x number of widgets....
- M Mathematics Surface Area Gift Wrapping Drag and Drop Activity CAN SOMEONE PLEASE ANSWER THE 4TH ONE...
- M Mathematics Plz help with this question...
- M Mathematics My brain hurts..............................................................................
- M Mathematics Does anyone wanna talk...
- M Mathematics A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How...
Ответ:
Y= -1/2x+2
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.
Also, let's call the second point you gave, (4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=0.
Now, just plug the numbers into the formula for m above, like this:
m=
0 - 2
4 - 0
or...
m=
-2
4
or...
m=-1/2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=-1/2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(0,2). When x of the line is 0, y of the line must be 2.
(4,0). When x of the line is 4, y of the line must be 0.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1/2x+b. b is what we want, the -1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (4,0).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(0,2). y=mx+b or 2=-1/2 × 0+b, or solving for b: b=2-(-1/2)(0). b=2.
(4,0). y=mx+b or 0=-1/2 × 4+b, or solving for b: b=0-(-1/2)(4). b=2.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(0,2) and (4,0)
is
y=-1/2x+2
Ответ:
An airplane is at 32,000 feet above sea level and descends at an average rate of 1,000 feet per minute. How many minutes will it take for the airplane to land at an airport 3,000 feet above sea level ?
It will take 29 minutes for it to land 3,000 feet above sea level
cause 32-3=29