Answers
Answer:
the general form of the equation of the line will be:
[tex]y-x=2[/tex]
Step-by-step explanation:
Finding the slope:
Taking two points from the line as shown in figure
(-2, 0)(0, 2)Finding the slope between (-2, 0) and (0, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]
[tex]m=\frac{2-0}{0-\left(-2\right)}[/tex]
[tex]m=1[/tex]
Finding the y-intercept
We know that the y-intercept can be calculated by setting x=0
From the figure, it is clear that at x=0, y=2
Thus, the y-intercept is (0, 2)
We know that the slope-intercept form of the equation line is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
As we have already determined the slope = m = 1 and the y-intercept b=2.
Substituting the values in the slope-intercept form of the equation line
[tex]y=mx+b[/tex]
[tex]y=(1)x+2[/tex]
[tex]y=x+2[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=x+2[/tex]
so just simplify the equation to write in standard form
[tex]y-x=2[/tex]
Thus, the general form of the equation of the line will be:
[tex]y-x=2[/tex]
Related Questions
what is the reciprocal of 1 3/10
Answers
Four friends went to the movies. Each purchased an order of nachos for n dollars and a medium-sized soft drink for s dollars. Write the expression that represents the total amount of money (in dollars) the four friends spent at the concession stand.
word problem help
Answers
Answer: 4(N+S)=$ or 4N+4S=$
I have 14 Baseballs in 23 tennis balls and some boxes of baseballs with 12 baseball and I have the equal amount of boxes of tennis balls and 16 ball write an expression to represent the total number of balls
Answers
Answer:
The answer is below
Step-by-step explanation:
I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls
Solution:
Let n represent the number of boxes of each type.
Given, the number of boxes of tennis = number of boxes of baseball, hence:
n = number of boxes of tennis = number of boxes of baseball.
Already I have 14 baseball and I bought boxes of baseballs with 12 baseball to a box, therefore:
Number of baseballs = 14 + 12n
I have 23 tennis ball and I bought boxes of tennis balls with 16 baseball to a box, therefore:
Number of tennis balls = 23 + 16n
Total number of balls = number of baseballs + number of tennis balls
Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n
Total number of balls = 37 + 28n
Simplify the expression.
4.8x - 4.6 + 3.9x
Answers
Answer:
8.7x - 4.6
Step-by-step explanation:
4.8x - 4.6 + 3.9x
Group like terms
4.8x + 3.9x - 4.6
Add similar elements: 4.8x + 3.9x = 8.7x
Then you get your answer:
8.7x - 4.6
help pls!
-6y=-2x+24
Answers
HELP ME ITS TIMED
WHAT'S 11+(-3)-1/8j-3/8j+7 SIMPLIFIED
Answers
Answer:
15-1/2j
Step-by-step explanation:
I hope this helps
Item 1
Factor the expression using the GCF.
44−11 =
Answers
Answer:
44-11=33
Step-by-step explanation:
(7(c)6) please answer right now
Answers
Answer:
42c
Step-by-step explanation:
h+7.9 +13 what is this answrerrr
Answers
Answer:
H + 20.9
Step-by-step explanation:
add 7.9 and 13 = 20.9
Answer:
5.1
Step-by-step explanation:
You subtract 7.9 from both sides of the equation in order to find the answer. 13 minus 7.9 is 5.1, so h is equal to 5.1
A team has won 51 out of 68 games. whats the precent
Answers
Answer:0.75 = 75%
Step-by-step explanation:
51 divided by 68 is 0.75
Answer:
75%
Step-by-step explanation:
When you divide 51 by 68 you get .75 which is equal to 75%.
Which could be the value of A?
A) - 10
2
C)
3
B) 0
D) 2.0
Answers
Answer:
A
Step-by-step explanation:
What is the volume of the rectangle prism?
Answers
Answer:
24
Step-by-step explanation:
Because 2•3•4= 24
A change jar contains nickels and quarters. The number
of nickels is 4 less than twice the number of quarters. If
the sum is $2.25, find how many quarters are in the jar
Answers
Answer:The answer is 7
Step-by-step explanation:
20 point question
simplify: −3x+2x-2y-5x+y+7y
Answers
Answer:
6y - 6x
I hope this helps!
Step-by-step explanation:
1. Find the like terms
-3x, 2x, -5x,
-2y, y, 7y
2. combine the like terms
-6x+6y
Help mee!!!! What are the next four terms
Answers
Answer:
-3/4, -1, -1 1/4, -1 1/2
Step-by-step explanation:
Answer:
-3/4 then -1 then -1 1/4 and finally -1 1/2
Step-by-step explanation:
1. (b+5) 12
2. (b–5) 15
Answers
Answer(s)
1.=12b+60
2.=15b-75
Step-by-step explanation:
12xb=12b
12x5=60
1.=12b+60
15xb=15b
15x-5=-75
2.=15b-75
What is the equation of the graphed line in slope intercept form?
(Graph is in the picture)
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
y = mx + c where m is the slope and c is the y intercept.
Slope = [tex]\frac{rise}{run}[/tex]
Slope (taken from points (0, 4) and (1, 7)) = [tex]\frac{7-4}{1-0}[/tex]
= 3
y-intercept = 4
Equation: y = 3x + 4
What is the y-intercept of the equation?
Answers
Answer:
45
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
NO ANSWERS MY QUESTION I NEED HELP PLEAAASE
Answers
Answer:
configure 3 its B
Step-by-step explanation:
I THINK THE ANSWER IS FIGURE B.
oops didn't know i was in caps lock.
Chad and Eric left a 20% tip after having lunch at a restaurant. Chad's lunch cost $10. Which equation can you use to find x, the cost of Eric's lunch?
A) 0.2(x + 10) = 5
B) 0.2x = 10 + 5
C) 0.2x + 5 = 10
D) 0.2x + 10 = 5
Answers
Answer:
a i think it might be right
) Kelli and her family went to the beach for vacation. They drove 293 miles in 7 hours to get there. If they drove the same number of miles each hour, about how many miles did they drive each hour? Select the numbers the quotient is between. *
Answers
Answer:
about 42 miles rounding up
Step-by-step explanation:
293÷7 and round up
The school's photographer took pictures of couples at this year's prom. She
charged $3.25 for wallet-size pictures and $10.50 for portrait-size pictures. Crystal
and Dan bought a total of 10 pictures for $61.50. Write two equations that would
be used to solve the system.
Answers
Answer:
B is the answer
Step-by-step explanation:
19. PLEASE HELPP !!Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 42 hours and dusted for 2 hours.
How much money did Mel earn?
PLEASE HELP !!
Answers
Answer:
1435.00
Step-by-step explanation:
dusted 2 hours. 15.00
Scrubbed floors 142 hours= 1420.00
Answer:
$30
Step-by-step explanation:
10$ x 1.5 (hours) = 15$ (the reason i did 1.5 is because she scrubbed for 1 and a half hours)
$7.50 x 2 (hours) = $15
$ 15 + $15 = 30
she earned $30 dollars
Luis and Victor were both trying to solve the equation 5x = 20. Luis multiplied both sides of the equation by 5. Victor divided both sides of the equation by 5. Who solved the equation correctly
Answers
Answer:
victor solved the equation correctly because you have to isolate the x and in order to do that you have to divide both sides by 5
FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping.
The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.
For what total cost are the number of toppings the same at both stores?
Answers
Answer:
3 toppings for a total of $6.50
Step-by-step explanation:
Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...
F = 5.75 + 0.25x
B = 2.75 + 1.25x
Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...
5.75 + 0.25x = 2.75 + 1.25x ... subtract 2.75 and 0.25x on both sides
3 = 1x ... divide both sides by 1
3 = x
Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50
HELP THIS IS TIMED
i need answers asap
Answers
Answer:
7
Step-by-step explanation:
I am 100% sure
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀⠀
AD = 24cmDB = 25 cm______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀⠀⠀
AB = d = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
Using Pythagoras theorem ;
⠀⠀⠀⠀
[tex]\sf{\red{\boxed{\bold{( hypotenuse )^2 = ( base )^2 + ( height )^2 }}}}[/tex]
⠀⠀
First , lets understand the concept ;
⠀⠀
What is Pythagoras theorem ??
⠀⠀⠀⠀
In Pythagoras theorem the square of hypotenuse is equal to the square of base in the square of corresponding height when one angle is 90° .⠀⠀⠀⠀
What is hypotenuse ?
⠀⠀⠀⠀
The side in the front of right angle is known as hypotenuse .⠀⠀⠀⠀
In the given Δ ;
⠀⠀⠀⠀
Hypotenuse = DB = 25 cm
⠀⠀
Acc. to the formulae ;
⠀⠀⠀⠀
➠ 25² = 24² + d²
⠀⠀⠀⠀
➠ d² = 25 ² - 24 ²
⠀
➠ d² = 625 - 576
⠀⠀⠀⠀
➠ d² = 49
⠀
➠ d = √49
⠀⠀⠀⠀
➠d = 7cm
⠀⠀⠀⠀
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of d is 7cmCAN ANYONE SOVE THIS EASY INDIAN MATHS QUESTION...The angle of elevation of a cloud from a point 60m above a lake is 30" and the angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.
Answers
Answer:
the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake
Step-by-step explanation:
Hope this helps
Answer:
80 mStep-by-step explanation:
The described points form two right triangles which share same horizontal leg a.
The bottom triangle has 60 m vertical length and 60° opposite angle.
The triangle on the top has unknown (x) vertical length and 30° opposite angle.
We are looking for the distance x + 60 m
On the top triangle we have:
tan 30° = x/a ⇒ a = tan 30° / xOn the bottom triangle we have:
tan 60° = 60/a ⇒ a = tan 60° / 60Comparing we get:
tan 30° / x = tan 60° / 60 x = 60 tan 30° / tan 60°x = 20 mSo the distance is:
60 m + 20 m = 80 mill give you brainliest for the correct answer
Answers
Answer:
An equation is 2.50x + 30 = 45
You purchased 6 movies
I need help with this.
Answers
Answer:
4x - 2
Step-by-step explanation:
The perimeter of a shape is when you add up all the sides.
-So, you can write it as: 2x - 5 + 5 - x + 3x - 2.
-Group the terms together to get: 2x + 3x - x - 5 + 5 - 2
-Combine like terms to get: 4x - 2
Hope this helps! :)
how do you simplify this
Answers
Answer:
-4c+11
Step-by-step explanation: