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
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
Answers
Slope: 4/3
Y-int: 2
Equation: y = 4/3x + 2
B.
Slope: -1/3
Y-int: -1
Equation: y= -1/3x - 1
Identify the axis of symmetry and vertex.
Answers
Answer:
he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
One to one function and value
Answers
Answer:
yes
Step-by-step explanation:
no two points have the same y value
How do I figure this out?
Answers
Help will give brainlist!
If correct. Thanks!
Answers
Answer:
B y=0.5x-1
Step-by-step explanation:
Answer:
Y=-1/2x-1
Step-by-step explanation:
The slope is found using rise/run
Y-int can be found on the graph
Can someone please help me on this please?!
Answers
Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)
Answers
Answer:
1) 5280 feet/sec
2)$3.41
Step-by-step explanation:
60 miles is 316800 feet, divided by 60 which is 5280 feet/sec
2)2.4x1.42 is 3.41
16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answers
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
x + 4 = -14 im frustraded i need an answer haha hewpppp
Answers
all u have to do is subtract 4! you do this because u want to isolate x so u subtract 4 from both sides. then you’ll have x= -18 !
Are these triangles similar and why
Answers
Answer:
can give me a picture
Step-by-step explanation:
Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?
(need help kinda quick, pls and thank you!)
Answers
Explanation: Since she is using gas, the function will be negative and decreasing. Also the initial amount was 13 gallons, this would be the y-intercept.
if x Multiplied by 7 = 21, what is x
Answers
Step-by-step explanation:
Given that x is multiplied by 7 = 21 Then
7 * x = 21
or x = 21/ 7
Therefore x = 3.
Answer:
Solution,
here,
x+7=21
x=21-7
Therefore,x=14
PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
x squared plus y squared minus 16 x plus 12 y equals 21
Answers
Answer
he diameter of the circle is 22 units.
x² + y² - 16x + 12y = 21
If this answer is correct, please make me Brainliest!
HAVE AN AMAZING DAY GOODLUCK
-Ary
-7 - 2 ..........................................................
..
Answers
Answer:
-9 is the answer
Step-by-step explanation:
hope it helps!
What are the zeros of the function defined by 2x^2 - 9x + 4?
O A. -1/2, -4
O B. -1/2, 4
OC. 1/2, -4
O D. 1/2, 4
Answers
Consider the following equation.
9x + 3y = 6
On a recent Algebra test, Brian was asked to rewrite the equation in slope-intercept form
The slope of the equation is
The y-intercept is
Answers
Answer: The slope is -3 and the y- intercept is (0,2)
Step-by-step explanation:
how many times larger then 2x10² is 2x10⁸
Answers
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x [tex]10^{8}[/tex] = 200,000,000
2 x [tex]10^{2}[/tex] = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]
2 ÷ 2 = 1
Now solve:
1 x [tex]10^{6[/tex] = 1,000,000
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
Answers
Step-by-step explanation:
20.6 feet
hope it helps !
Answer:
c
Step-by-step explanation:
1st correcct will get brainliest
Answers
Answer:
it s A
Step-by-step explanation:
if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten
Brianliest plz thanks
Tim is a first grader and reads 43 words per minute. Assuming he maintains the same rate, use the double number line to find how many words he can read in 5 minutes. Words 0 43 Minutes 0 1 Tim can read words in 5 minutes.
as a timeline
Answers
Answer:
all you have to do is Just divided the numbers
Step-by-step explanation:
÷
Question 1 (1 point)
Find the area of the circle.
A) 37.82
B) 43.86
C) 17.72
D) 28.26
Answers
Answer:
ok
Step-by-step explanation:
Same question I answered it but I don’t know if it’s correct
Answers
Answer:
Yes it is correct
Step-by-step explanation:
A good way to know it's correct is the "three times a number" because that's how you would know it's 3x
What is the solution to the equation?
8v - 4(v + 8) = 8
O v = 2
O v = 10
ng
v=4
o
v=-4
Answers
Answer:
v =10
Step-by-step explanation:
8v - 4(v + 8) = 8
Distribute
8v -4v -32 = 8
Combine like terms
4v -32 = 8
Add 32 to each side
4v -32+32 =8+32
4v = 40
Divide by 4
4v/4 = 40/4
v =10
Answer:
v = 10
Step-by-step explanation:
Expand 8v - 4(v + 8) = 8 and then combine like terms:
8v - 4v - 32 = 8, or
4v = 40
Then v = 40/4, or v = 10
what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question
Answers
6/7 * 2/2 = 12/14
1/2 * 7/7 = 7/14
Now subtract
12/14 - 7/14 = 5/14
6/7 - 1/2 equals 5/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:
Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.
Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.
Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.
Therefore, 6/7 - 1/2 equals 5/14.
For more details of Subtract the fractions:
https://brainly.com/question/5220474
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answers
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Step-by-step explanation:
Given,
Per day charge of each associate = $800
Per day charge of each partner = $1300
Total charged per day = $12300
Let,
x be the number of associates
y be the number of partners
According to given statement;
800x+1300y=12300 Eqn 1
y = x+3 Eqn 2
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Keywords: linear equation, addition
Step-by-step explanation:
What the slope (6,-4) and (4,-4)
Answers
Answer:
0
Step-by-step explanation:
-4 - -4 = 0
6-4 = 2
0/2 = 0
Answer:
change in y change in x
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates
m=y2−y1x2−x1
Substitute in the values of x
and y
into the equation to find the slope.
m=−4−(4)−3−(6)
m=8/9
Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9
Answers
please answer this. thank you
Answers
what is the answer to x - 8 < -2
Answers
Answer:
X < 6
Step-by-step explanation:
Add 8 to both sides
x < 6
Answer:
X<6
Step-by-step explanation:
x-8<-2
So first off, you want to get X by itself. To do that you have to do the opposite of what the number is. If the number is negative you add it. If the number is positive, you subtract it. What you do on one side, you do on both.
x-8<-2
+8 +8
X<-2+8
Next, You need to add alike terms.
X<6
You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.
Answers
Answer:
1. $1.2
2. $0.14
Step-by-step explanation:
Step one:
given data
Black beans last week that cost $1.34
Step two:
This week's price
5 cans of beans cost $6.00
The cost per can is
= 6/5
=$1.2
The difference in price
=1.34-1.2
= $0.14
