Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?

Answers

Answer 1
Answer

We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4

y = −3

m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)

b = −3 − (−2)

b = −3 + 2

b = −1
Now that we know m and b, we can plug into our original equation:

The equation is y = 1/2x − 1.

Related Questions

What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 4x - y = 12

Answers

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

Which expression is equivalent to |8| + |-7|?

O -15

O -1

O 1

O 15



Please someone do I need the answer thx :)

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8

Find the slope of a line through the given points.
(3-7), (5,5)

Answers

Answer:

11/2

Step-by-step explanation:

Answer: m = 6

Step-by-step explanation: Start by writing down the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

m = 5 - (-7) / 5 - 3

m = 12 / 2

m = 6

So the slope of our line is 6.

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

.What is the slope of the line defined by the
equation 3 x-2 y= 10? PLEASE I WILL GIVE BRAINLEST IF CORRECT

Answers

Step-by-step explanation:

Multiply 3x-6

Rearrange y=10/3x-6

slope=10/3 x

passes through (-6,-1) and is parallel to y=-2/3x+1​

Answers

answer: y = -2/3x - 5

explanation: parallel slopes are the same, so the new equation would have a slope of -2/3. now, we have to find the y-intercept. to do this, plug in the x and y values for our new equation. we know that the standard form is y=mx+b, where b is the y-intercept.
-1 = -2/3(-6) + b
multiply
-1 = 4 + b
subtract 4 on both sides
-5 = b
so our new equation is
y = -2/3x - 5
you can check by plugging in the x-value (-6)
y= -2/3(-6) - 5
to get
y= -1
which makes this correct

Maddie spent about $12 on 3.8 pounds of one type of fruit. Which types of fruit could Maddie have bought? Check all that apply.

apples- 1.89

cherries- 5.28

grapes- 2.78

pears- 1.41

strawberries- 3.12

Answers

Answer: strawberries, grapes, apples, and pears

Step-by-step explanation:

Strawberries:

3.12*3.8≈11.86 which is less than 12.

Grapes, pears, and apples are less than strawberries, so those are also possibilities.

Answer:

Step-by-step explanation:

strawberries and grape

Match each equation to its solution.

Answers

Good job you got it right! But others won’t be able to find it because you have a basic writing for it. Next time put the actual equations on so others can find it!

Answer:

i)x=6

ii) x=-7

iii) x=-5

Step-by-step explanation:

First take the no. to the other sides. Then divide, then u will get x

2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?​

Answers

Answer:

5

Step-by-step explanation:

20 divided by 3.50 = 5.71428571429

convert the given fractional number to percents 2/7​

Answers

Answer: 28.571429%

Step-by-step explanation:

2 divided by 7 is 0.2857142...

In order to make this a percentage you'll need to move the decimal two places to the right.

What is equivalent to 6/9​

Answers

Answer:

Answer: 2/3

Step-by-step explanation:

6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.

You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.

Penolope earned $50 dollars in may and she earned $60 in June
what is the percent increase or decrease in penolope´s monthly earnings

Answers

Answer:

120

Step-by-step explanation:

find the first four terms of the sequence:

an= 54+ 3(n-1) n= 1, 2, 3...

Answers

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~54+3(1-1):[/tex]

[tex]\bold{Subtract~1~from~1~to~get~0.}[/tex][tex]\bold{Multiply~3~and~0~to~get~0.}[/tex][tex]\bold{Add~54~and~0~to~get~54.}[/tex]

[tex]2.)~54+3(2-1):[/tex]

[tex]\bold{Subtract~1~from~2~to~get~1.}[/tex][tex]\bold{Multiply~3~and~1~to~get~3.}[/tex][tex]\bold{Add~54~and~3~to~get~57.}[/tex]

[tex]3.)~54+3(3-1):[/tex]

[tex]\bold{Subtract~1~from~3~to~get~2.}[/tex][tex]\bold{Multiply~3~and~2~to~get~6.}[/tex][tex]\bold{Add~54~and~6~to~get~60.}[/tex]

[tex]4.)~54+3(4-1):[/tex]

[tex]\bold{Subtract~1~from~4~to~get~3.}[/tex][tex]\bold{Multiply~3~and~3~to~get~9.}[/tex][tex]\bold{Add~54~and~9~to~get~63.}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]\bold{Term~1=\boxed{54}}[/tex][tex]\bold{Term~2=\boxed{57}}[/tex][tex]\bold{Term~3=\boxed{60}}[/tex][tex]\bold{Term~4=\boxed{63}}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? (1 point)

The graph shifts 7 units left.
The graph shifts 5 units left.
The graph shifts 2 units up.
The graph shifts 3 units up.

Answers

Answer:

7 units leftjJakaKakoao

Answer:I thought it was 5 units up

Step-by-step explanation:

Someone help

If a varies jointly with b and c and a = 2.53 when b=5.5 and c = 0.92. Find the constant of variation.

Answers

Answer:

0.9

Step-by-step explanation:

0.9

Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent?

Answers

Answer: Its B i think

Step-by-step explanation:

Need help with w(x+1)

Answers

Answer:

Sure thing w(x+1)= wx+2

Step-by-step explanation: You use distributive property. Hope this Helps!

what's the equation?​

Answers

Answer:

y=4/5x-2

Step-by-step explanation:

hope this helps

final answer is y=4/5x-2

3х2 x 2х3
Please HELP!!!!

Answers

Answer: 36

Step-by-step explanation: to make it easier, it is 6x6.

Answer:

36

Step-by-step explanation:

3х2 x 2х3

6 x 6

36

You have $300 to spend on school clothes shirts cost $15 and pants $20

Answers

265 should be correct

Answer

19 pants and 6 shirts

abcd is a kite x = ?

Answers

X = 90 degrees because lines are perpendicular

The measure of angle x using property of Kite is 90 degree.

In geometry, a kite is a quadrilateral with two pairs of equal-length adjacent sides.

As, The diagonals of a kite are perpendicular to each other.

This means that they intersect at a right angle.

From the figure BD and AC are diagonals  of Kite.

and, the diagonals of a kite are perpendicular to each other.

So, the measure of angle x is 90 degree.

Learn more about Kite here:

https://brainly.com/question/28157521

#SPJ4

How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen million, four hundred ninety-seven thousand, four hundred three in standard form and expanded form using multiplication. And I don’t know how to do that

Answers

Step-by-step explanation:

Standard form is of course 17,497,403.

Expanded form is:

10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3

NEED HELP ASAP

SOLVE FOR H

Answers

Answer: h = 3V/(pi*r^2)

Step-by-step explanation:

V = (1/3)pi*(r^2)*h

h = 3V/(pi*r^2)

Solve the equation for b. Use lowercase letters and no spaces when typing in the equation. a+b/3= C type your answer...​

Answers

Multiply both sides of the equation by 3

3a+b=3c

Subtract 3a from both sides

B= 3c-3a


I’m not 100% sure about this answer, but I hope it helps anyways :)

how do i solve for x

Answers

Answer:division if you just use the derivative

Step-by-step explanation:


Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.

Answers

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)

Help 8th grade please

Answers

Answer:

B.

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.

Answer:

C

Step-by-step explanation:

Supplementary - adds up to 180

solve for x geometry

Answers

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

6

x

)

=

ln

(

66

)

Expand

ln

(

6

x

)

by moving

x

outside the logarithm.

x

ln

(

6

)

=

ln

(

66

)

Divide each term by

ln

(

6

)

and simplify.

Tap for more steps...

x

=

ln

(

66

)

ln

(

6

)

The result can be shown in multiple forms.

Exact Form:

x

=

ln

(

66

)

ln

(

6

)

Decimal Form:

x

=

2.33829083

Answer:

X=19

Step-by-step explanation:

A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.

Solve the inequality.

5 (4 + x) < 3 (2 + x)

help please!

Answers

x < - 7 I think is the correct answer for this problem.

Find the answer to the question below

Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?

Answers

Answer:

0.336?

Step-by-step explanation:

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