Write an equation of the line containing the given point and parallel to the given line.
(6,-2); 4x - 3y = 8
Answers
Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
Related Questions
PLEASE HELP. SOON. I really need help i’m struggling a lot lol
Answers
Answer: A
Step-by-step explanation: trust me bro
How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm
Answers
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answers
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
THIRTY POINTS Will mark branliest if right.
Which expression is equal to the expression below?
(2 x 6)^4
A. 2^4 x 6^4
B. 8^4
C. 4 x (2 x 6)
D. 2 x (6)^4
Answers
Answer:A
Step-by-step explanation:A
A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?
Answers
Substituting,
V = (4/3)π(3 cm)³
V = 36π cm³
ASAP
Solve the following equation by graphing each line below.
a) 2x+3=-x+9
b) Where do the two lines intersect? Write your answere in the form (x,y)
Answers
Answer:
x=2
Step-by-step explanation:
2x+x+3=9
2x+x=9-3
3x=9-3
3x=6
x=2
Answer:
a) 2x + 3 = -x + 9
or, 3x = 6
# x = 2 since there is no y in the equation the value of y could be 0.
b) it intersects at ( 2, 0 )
Step-by-step explanation:
Use the graph below to answer the question.
On a coordinate plane, a horizontal line is at y = 4.
What is the slope of a line that is parallel to the line in the graph?
Answers
Answer:
0
Step-by-step explanation:
edg 2020
Answer:
0
Step-by-step explanation:
if its parallel then its gonna be the same slope
What is the absolute value of -0.58?
Answers
Answer:
0.58 I think because absolute value is positive
Please show steps on how you simplified it
Answers
Answer:
4(3^2)
3^2=9
4(9)= 36
Answer:
4(3•3)
4(9)
36
Step-by-step explanation:
3 to the second power is equal to 3•3, which is equal to 9
Then you do 4 times 9, equals to 36
Find the distance between the pair of points (2,-5) and (3,-7).
Answers
Answer:
2.24Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS
Answers
Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation:
Write an expression and solve. Cole wants to buy a shirt for $25. The sales tax
is 8%. How much will the shirt cost?
Show your work:
A. $27
B. $33
C. $45
D. $227
Answers
Answer:
A
Step-by-step explanation:
8% of 25 is 2 so 25 + 2 =27
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answers
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
What is five times 5
Answers
Answer:
It is 25
Step-by-step explanation: 5 10 15 20 25
5*5 =25
Hope this help:)
What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph
Answers
Answer:
the graph attached is the answer
Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.
Answers
Answer:
He can fill up his fill up his measuring cup 8 times that is pretty simple
Step-by-step example
4 cups is in one gallon
what is the slope of (4,3) and (1,-1) the line is positive
Answers
The slope would be 1.33
What is the distance between the points (1,4) and (3,7)
Answers
Answer:
[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
To find the distance between points, we can use the following formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
We have two coordinates; (1, 4) and (3, 7)
Let's plug these values into the equation
[tex]d = \sqrt{(3 - 1)^2 + (7 - 1)^2} = 2\sqrt{10}[/tex]
Good luck!
88 x 88/22 x 11 x 11
Answers
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
Learning Task 2 without graphing tell whether the graphs of the system of equations are parallel, perpendicular,intersecting or coinciding
1.y = x + 7 and y = - x + 2
2.Y = 5x and y = 5x - 1
3. 2x + y = 1 and 2y + 4x = 2
4. Y = 2x + 3 and y = -x - 4
Answers
Answer:
1.Perpendicular
2. Parallel
3. Parallel
4.
Step-by-step explanation:
If two lines are parallel, slope is equal
If perpendicular, product of slopes is -1
y = mx + c is the general equation of a line form
m represents slope
1. slope is -1 and 1, they are perpendicular
2. Slope is 5 in both cases, they are parallel
3. slope is equal; equation ii is same as i if rewritten
They are parallel
4.
Please help!!!! With 8 and 9
Answers
Answer:
8. slope: = 1/2
9. equation: y=1/2x
Plz help!!!
Sarah and Jake collect bottle caps. Sarah started with 25 bottle caps
and gave away X number of them. Jake started with 40 bottle caps and gave
away 2 times as many as Sarah gave away. If they now how the same number of
bottle caps, how many bottle caps do they now have?
Answers
Answer:
10
Step-by-step explanation:
use the variable x and replace it with a 15 and use the same equation, it is the only number that fits
Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.
Answers
Answer: Small box: $13; Large box: $16
Explanation:
Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.
2. Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50 and child tickets cost $2.00. How many child tickets did he buy?
Answers
Answer:
worked it out is correct your answers are there
Step-by-step explanation:
there are your answers
will mark brainliest for the correct answer! just read the english, okay? the other language is the translation for the english.
Answers
Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Which expression is the simplest form of
(x4/7)^7
Answers
Answer:
7
Step-by-step explanation:
50.2 x 1 10² tenths equal?
Answers
Answer:
607,420
Step-by-step explanation:
hope it is correct and helps
Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.
Answers
Answer:
A.The corresponding angles of a shape and its dilation are congruent.
Step-by-step explanation:
Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.
Thus, the respective angles of the given shape and its image are the same.
The appropriate answer to the given question is A.
5h + 10 = 4h + h + 15
Answers
Answer:
h = no solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5h + 10 = 5h + 15
Step 2: Solve for h
Subtract 5h on both sides: 10 ≠ 15Here we see that 10 does not equal 15.
∴ h has no solution.
Final Answer: No Solution
Steps/Reasons:
Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].
[tex]5h + 10 = 5h + 15[/tex]
Step 2: Cancel [tex]5h[/tex] from both sides.
[tex]10 = 15[/tex]
Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.
No Solution
~I hope I helped :)~
What Is the solution of the system? HELPPPPPP
Answers
Answer:
2,2
Step-by-step explanation:
the lines intercept at 2,2