Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).

Answers

Answer 1

Answer:

The point-slope form of the equation of the parallel line is y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

m is the slope(x1, y1) are the coordinates of a point lies on the line

∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3

→ Compare it with the first form of the equation above

∴ m =  [tex]\frac{3}{4}[/tex]

∴ The slope of it is  [tex]\frac{3}{4}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  [tex]\frac{3}{4}[/tex]

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =  [tex]\frac{3}{4}[/tex] (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

The point-slope form of the equation of the parallel line is

    y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)


Related Questions

Will Give Branieliest!!!!!!!
A farmer placed an order for 11 tons of fertilizer. He calculates that the corn fields will require 6 5/8 tons of it. How much fertilizer will the farmer have left for his other crops?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

4.375

Step-by-step explanation:

11 tons

He needs 6 5/8

Convert 11 tons to a fraction with the same denominator:

[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]

Now calculate 6 5/8:

[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex]  and add  [tex]\frac{5}{8}[/tex]

[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]

Now subtract

[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]

As a mixed number:

[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]

As a fraction:

4.375 is how much he has left for his other crops.

The difference of two integers is 1. The product of the integers is 30. What
are the integers?

Answers

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

First integer be x .Second integer be y .

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

⇒ ( y + 6 ) ( y - 5 ) = 0 .

[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

.

what is the product of the complex number 3-4i and 6+I where I =-1​

Answers

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.

Answers

Answer:

S = 1 bag of popcorn

Y = 1 water

Step-by-step explanation:

S x 3 + Y x 4 = R

40 - R = (The Answer)

The volume of a cube is 27 in.. How long is each side? Each side of the cube is____in. long.​

Answers

Answer:

the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3

Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!

Answers

Answer:

270 miles and 180 minutes

Step-by-step explanation:

Which equation represents a line with a slope of -3 and a y-intercept of -6?
A. y = 3x - 6
B. y = 6x + 3
C. y = - 3x +6
D. y = - 3x - 6

Answers

Answer:

D. y=-3x-6

Step-by-step explanation:

Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6

I think it might Be D

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant

Answers

9514 1404 393

Answer:

  C, M

Step-by-step explanation:

The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.

__

Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.

Answer: C M

Step-by-step explanation:

what is 5 divided by 1 4/7

Answers


3.18 is the answer i believe !

Can someone please help, ty!! (Will mark brainliest)

Answers

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given two points are :-

( -1 , 3)( 0 , -5)

So , we know Two point form into equⁿ using a formula , which is

[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]

So, on substituting respective values ,

=> y - 3 = (-5-3)/0-(-1) × ( x - 3)

=> y - 3 = -8/1 ( x - 3)

=> y - 3 = -8x +24

=> 8x + y -27 = 0

In 10 minutes a heart can beat 700 time at this rate in how many minutes will a heart beat 140 time

Answers

2 minutes because 10/700 divide by 10 1/70 so 70 bpm 140/70= 2

Answer: i believe the answer is 2 minutes

Step-by-step explanation:

whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony​

Answers

Answer:

I do believe it is irony

you must take medicine in 4 equal doses each day. each days medicine come in a single container and measure 3 1/5 tablespoons. how much medicine is in each dose

Answers

1.2 tablespoons in each dose

Write 1 fifth (1|5)
as a decimal.

Answers

Answer:

The answer is 0.2

Step-by-step explanation:

=1/5

=1 Divided by 5

=0.2

It’s .2 ! Hope this helped

How much is one pound of oranges according the the chart?

Answers

Answer:

The retail price for bananas and seedless grapes has had a somewhat rockier track record over the past 25 years. Starting at 45 U.S. cents in 1995, the price of bananas per pound reached its peak in 2008, with 62 cents. In 2019, bananas cost consumers an average of 57 U.S. cents per pound. In recent years, the retail price of seedless Thompson grapes had decreased: the price stood at roughly 3 U.S. dollars per pound in 2014 and dropped to approximately 2.40 U.S. dollars in 2019.

Sales growth of fresh fruit

In 2019, sales numbers for papayas increased by roughly 15 percent in the United States, making it the type of fresh fruit that experienced the highest rate of sales growth that year. Kiwis, berries, and limes were some of the other fruit types that experienced growth in the United States, while sales percentages for apricots, oranges, and tangelos decreased considerably

Step-by-step explanation:

Answer:

1.50

Step-by-step explanation:

On the X-axis where oranges are graphed, you run until you get to 1 pound. Then you go up from the X-axis and see where it connects with the Y-axis (total cost)

A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12 how far will the cab travel?​

Answers

Answer:

5 miles

Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)

A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10

Answers

your answer would be B

A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?

Answers

Answer:

What you are looking for is the ratio which is 5/9

Step-by-step explanation:

all you had to do was add them together

Answer:

Step-by-step explanation:

5 to 9

Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b.
Write your answer in component form.

Answers

Answer:

[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]

What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5

Answers

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

How to determine the value of x

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

Learn more about inequalities here:

https://brainly.com/question/24372553

#SPJ9

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).

Answers

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

Learn more here: https://brainly.com/question/24217736

If the Plot of Land is an 80 ft by 50 ft rectangle,
what is the area?

Answers

Answer:

4000ft.

Step-by-step explanation:

The formula for area of a rectangle is length times width.

80 x 50 = 4000

That is correct. The area of a rectangle is l*w

Original price of oil change is 38.95 discount is 32%

Answers

Answer:

If the discount is 32%, the new price would be $26.486

Step-by-step explanation:

To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.

12.464 is the 32% discount

38.95 - 12.464 = 26.486

Hope this helps and pls do mark me brainliest if you can:)

The answer is 26.486 hope this helps

i cant figure this out

Answers

Answer:

(xy) ^ (-1)

Step-by-step explanation:

Good luck!!

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2

Answers

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.

How many squares should he use for the sixth stage?​

Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March

Answers

Answer:

25

Step-by-step explanation:

200 divided by 8

which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST

Answers

Answer:

I believe it is 1 and 3 only. (I & III only)

Step-by-step explanation:

5(-1) = -5

-5 - 10 is less than -5, so I is true.

5(9) = 45

45-10 is not less than -5, so II is false.

5(1) =5

5-10 is equal to -5, so III is true.

Answer:

I. and III.

Step-by-step explanation:

5x - 10 ≤ -5

I. -1

5(-1) - 10 ≤ -5

-5 - 10 ≤ -5

-15 ≤ -5

-15 is less or equal to -5, thus I. is an option

II. 9

5(9) - 10 ≤ -5

45 - 10 ≤ -5

35 ≤ -5

35 is not less or equal to -5, thus II. is not an option

III. 1

5(1) - 10 ≤ -5

5 - 10 ≤ -5

-5 ≤ -5

-5 is less or equal to -5, thus III. is an option

please help!! I'm really confused

Answers

Answer:

Point a is correct.

Step-by-step explanation:

hope I helped.

Lori read the total of 48 pages over 3 hours

Answers

Answer:

16 pages per hour

Step-by-step explanation:

48 ÷ 2 = 16 pages per hour

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