write an equation for the line that passes through (2,-5) and is parallel to the line 2y=3x+10

Answers

Answer 1

Answer:

[tex]y = \frac{3}{2} x-8[/tex]

Step-by-step explanation:

Firstly, let's get y by itself in the equation.

[tex]y = \frac{3}{2}x + 5[/tex]

Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:

[tex]y = \frac{3}{2}x + b[/tex]

To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:

[tex]-5 = \frac{3}{2}(2) + b[/tex]

Now solve:

[tex]-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b[/tex]

We have found the y-intercept, now we can write the full equation:

[tex]y = \frac{3}{2} x-8[/tex]

I hope this helps!!

- Kay :)


Related Questions

(30 points) algebra 1 PLZ HELP ASAP!!!!

Answers

Answer:

u need 2 find the angles

Step-by-step explanation:

What is the answer???

Answers

The answer would be y=1/2x+2

This is because the rise over run of the line is 1 over 2 which equals 1/2. The y intercept is positive 2 which is why we place that at the end of the equation.

Mrs. Stoddard has 264 crayons for her art class of 22 students. How many crayons will each student get if the crayons are divided equally? Use a model to help you solve the problem.

Answers

Answer:

12

Step-by-step explanation:

264/22

What is the simplified expression for

Answers

Answer:

c. 5/2

Step-by-step explanation:

Write the following equation from the verbal description given
and then solve the equation.
"Two and three-fourths times the sum of twelve times a
number c and negative seven is equal to thirty-five and three-
fourths."

Answers

The equation for the given verbal descrption "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths." is [tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex] and its solution is c = 5/6.

According to the given question.

We have a verbal description for a equation i.e. "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths."

So, the equation for the above verbal description is given by

[tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex]

Therefore, the solution for the above equation is given by

11/4(12c - 7) = 143/4

⇒ 11(12c - 7) = 143     (multiply both the sides by 4)

⇒ 132c - 77 = 143

⇒ 132c = 143 + 77

⇒ 132c = 220

⇒ c = 220/132

⇒ c = 110/66

⇒ c = 55/66

⇒ c = 5/6

Hence, the equation for the given verbal descrption "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths." is [tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex] and its solution is c = 5/6.

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which of the following is the cofficient in the algbraic expression 5y-z^3

Answers

5y I hope this answer helps you

SLOPEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEREEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Slope=1

Step-by-step explanation:

The meal total was $50. If we leave a 20% tip, then what will the meal cost us total. (Hint: meal total plus tip = overall total: tip = meal x %(in decimal form)

Answers

Answer:

Total cost of meal is $60

Step-by-step explanation:

The cost of meal = $50

Tip = 20%

We need to find total cost of meal

First find 20% of 50 to get the amount given for tip

[tex]20\% \:of\: 50\\=\frac{20}{100}\times 50\\=10[/tex]

So, tip given is $10

Total cost of meal = 50+10 = $60

So, total cost of meal is $60

Write a linear function f with the values f(−1)=5 and f(3)=4.

Answers

Answer:

1 Expert Answer When they say f(0) = -5 they mean the point (0, -5) is on the line. When they say f(3) = 4 they mean the point (3, 4) is on the line. In y = mx + b form, we would have f(x) = 3x - 5.

Step-by-step explanation:

The function is to be determined from the given points.

The linear function is [tex]f(x)=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]

The given values are

[tex]f(-1)=5[/tex]

[tex]f(3)=4[/tex]

The ordered pairs are [tex](-1,5),(3,4)[/tex]

The equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\Rightarrow y-5=\dfrac{4-5}{3-(-1)}(x-(-1))\\\Rightarrow y-5=-\dfrac{1}{4}(x+1)\\\Rightarrow y-5=-\dfrac{1}{4}x-\dfrac{1}{4}\\\Rightarrow y=-\dfrac{1}{4}x-\dfrac{1}{4}+5\\\Rightarrow y=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]

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Use the Distributive Property in REVERSE ORDER to write an expression that is equivalent to 8x + 16.

Answers

Answer:

It is the first answer you got it right

Step-by-step explanation:

Find the mean, median and mode of the weights of the people shown. Please

Answers

Step 1: order them (Always, Always,...always !!)

Step 2:

Mean or average (I would remember this by saying mean people call others average) : we find the average by adding all and divide by the number of people.

Median: who is the middleman ? Choose the person or the ‘x’ standing in the middle. (I would remember this by thinking that a road median splits the road therefore it’s in the middle) —-> Unlike mean and mode, only after you order the data you can find the median !!!

Mode: what is the number that repeats the most ? (Hint: 61 is the answer )

tell me somthing <3 ^^

Answers

Answer:

like

Step-by-step explanation:

my favorite food is cheesecake and I'm lactose intolerant♡


What is the slope of the line that passes through the points (9,-5) and
(1, -1)? Write your answer in simplest form.

Answers

Answer: -1/2

Step-by-step explanation:

See attached

What letter do you use to represent the dominant allele?

A. Your favorite alphabet letter
B. The first letter of the recessive trait
C. Select letters from the Greek alphabet
D. The first letter of the dominant trait

Answers

D. The first letter of the dominant trait

PLEASE HELP ME :(

What is the length of the midsegment AB?

Answers

31 31- I'm just dragging this out cause the thing wants me to type more

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

Helppppppppppppppppppp

Answers

Answer:

The answer to the question is 23

Use the given information to find f(x + 1)
g(x) − f(x) = −2x + 5, g(x) = 5x − 3

Answers

Answer:

[tex]\mathbf{ f(x+1)=7x-1}[/tex]

Step-by-step explanation:

We need to find f(x+1)

We are given:

[tex]g(x) - f(x) = -2x + 5\:and\:g(x) = 5x -3[/tex]

First we need to find f(x)

By putting value of g(x) into g(x)-f(x)

[tex]g(x) - f(x) = -2x + 5\\\Put\:value\:of\:g(x) = 5x -3\\5x-3-f(x)=-2x+5\\-f(x)=-2x+5-5x+3\\-f(x)=-2x-5x+5+3\\-f(x)=-7x+8\\f(x)=-(-7x+8)\\f(x)=7x-8\\[/tex]

We have, [tex]f(x)=7x-8[/tex]

Now finding f(x+1) by putting x=x+1

[tex]f(x)=7x-8\\Put\:x=x+1\\f(x+1)=7(x+1)-8\\f(x+1)=7x+7-8\\f(x+1)=7x-1[/tex]

So, [tex]\mathbf{ f(x+1)=7x-1}[/tex]

Can someone please help me with this ASAP ill love you forever

Answers

Answer:

Step-by-step explanation:

I can help :D

.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..​

Answers

Answer:

[tex]y > 3\cdot x + 5[/tex]

Step-by-step explanation:

Let [tex]A(x,y) = (-2,4)[/tex] and [tex]y = 3\cdot x + 5[/tex]. Now we evaluate the given function at [tex]x = -2[/tex]:

[tex]y = 3\cdot x + 5[/tex] (1)

[tex]y = 3\cdot (-2)+5[/tex]

[tex]y = -6 +5[/tex]

[tex]y = -1[/tex]

Which means that [tex]y[/tex] is less than the y-component of A. Therefore, the right answer is [tex]y > 3\cdot x + 5[/tex].

1# Mr. Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Sanchez’s purchases?

2# The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

3# Dennis estimated the width of the space he has in his kitchen to fit a new refrigerator to be 36 inches. The actual width is 33 inches. What is the approximate percent error?

4# Megan purchased 8 square yards of flooring for a total of $432. What was the price of this flooring per square foot? **BE CAREFUL! You need to convert SQUARE YARDS into SQUARE FEET! If 3 feet = 1 yard, how many square feet are in 1 square yard?

5# A rectangular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What is the area of the new photograph?

HELP ME WITH THE 5 QUESTIONS!!!!! PLEASE :) QUICK

Answers

Answer:

#1: $36.94

#2: 4.9 continuous

#3?

#4 $18

#5 64in squared

Step-by-step explanation:

#1 2x9.95+19.9

$19.90+$14.95=34.85

6% of 34.85=2.09

$34.85+$2.09=

$36.94

#4 8 yards = 24 feet

432/24=

18

#5 4x2=8

8x8=64

remember to make sure it is squared because it is area

5. What is the inverse of the following conditional?
(1 point)
Ifn is the sum of two even numbers, then n is even.
OIfnis even, then n is the sum of two even numbers.
OIfn is not even, then n is not the sum of two even numbers
OIf n is not the sum of two even numbers, then n is not even
If n is the sum of two even numbers, then n is not even.

Answers

Answer:

A

Step-by-step explanation:

because an even number plus and even number equals and even number

Answer:

(C) If n is not the sum of two even numbers, then, is not even.

Step-by-step explanation:

evaluate 9.3s + 8.5t when s=7 and t=8

Answers

Answer:

17.95

Step-by-step explanation:

Which table represents a linear function

Answers

Answer: It is the Top right one

Step-by-step explanation: Because number sequence is consistent

It starts with a 7 and you add 2 that is a 9 add two more that is 11 and add 2 it is 13. With the others you cant add the same number for all of them and get a linear function. Hope this helped :3

what is the product of 5/12 and 8/15​

Answers

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

describe the error below
plz hurry I make you brainlist ​

Answers

Answer:

Instead of subtracting 5 from both sides you would need to add because the equation is technically saying 5y - 5 = 10.

spamming math questions and giving brainlists on them all :p

Abdul made a scale drawing of a boarding school. The scale of the drawing was 1 centimeter : 2 meters. A building at the school is 127 centimeters in the drawing. How long is the actual building?

Answers

Answer:

2*127 = 254 meters

if 1 cm is 2 meters then this is correct

Pre-Calc
It's timed, pls help

Answers

Answer:

I think it's B.

Hopefully this helps, sorry if i doesn't.

(Also i saw your Technoblade pfp, very nice)

find [t]-1 given that cos sin sin cos and show that [t]21 5[t]t and hence that [t] is an orthogonal matrix.

Answers

TT is equal to T-1, so the given matrix is an orthogonal matrix.

What is an orthogonal matrix?

A matrix is said to be orthogonal if its antipode is also its transpose and if its relationship to the inner product is established. A real square matrix with orthonormal vectors in its columns and rows is known as an orthogonal matrix or orthonormal matrix in direct algebra. Where QT is the transpose of Q and I is the identity matrix is one system to put this into words. However, the matrix is said to be orthogonal, If the transpose of a square matrix with real figures or values is equal to the inverse matrix of the matrix. In other words, an identity matrix will always be affected by the product of a square orthogonal matrix and its transpose.

Here, the determinant of T,

 |T| = cos²∅ + sin²∅

      = 1

Now, its cofactors,

[tex]T_{11}[/tex] = cos ∅

[tex]T_{12[/tex] = sin ∅

       [tex]T_{21[/tex]= -sin ∅

[tex]T_{22[/tex] = cos ∅

Now, the adjoint matrix of cofactors matrix transpose [tex]T^T[/tex] is equal to [tex]T^{-1.[/tex]

Hence, the given matrix is an orthogonal matrix.

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Bill deposits $3,000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 4 years?

Answers

Answer:

The interest he will be paid in the first 4 years is $360

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

P is the initial depositr is the rate in decimalt is the time

∵ Bill deposits $3,000 into an account

P = 3000

∵ The account pays simple interest at a rate of 3% per year

r = 3% = 3 ÷ 100 = 0.03

∵ The time is 4 years

t = 4

→ Substitute these values in the rule above

∵ I = 3000(0.03)(4)

I = 360 dollars

The interest he will be paid in the first 4 years is $360

what is the percent of 65% of 186

Answers

Answer:

im pretty sure 120.9

Step-by-step explanation:

Answer:

120.9

Step-by-step explanation:

0.65 times 186 is 120.9

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