Determine the equation of the line with slope −4 that passes through the point M(−2, 1).

y = −4x + 7
y = −4x − 7
y = 4x + 9
y = −4x − 9

Answers

Answer 1

Answer:

y = - 4x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute M(- 2, 1) into the partial equation

1 = 8 + c ⇒ c = 1 - 8 = - 7

y = - 4x - 7 ← equation of line


Related Questions

What is X<-1=?
[tex]x < - 1[/tex]

Answers

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

[tex]\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}[/tex]

Step-by-step explanation:

[tex]x<-1[/tex]

That is the less than symbol.

[tex]x[/tex] represents a number.

The value of [tex]x[/tex] is less than -1.

A coin flipped 10 times and shows tails each time. Is there statistical significance to say that the coin is not a fair coin

Answers

Answer:

no because Chance is likely to account the result.

Help!!!!
Somebody help me solve these questions please ​

Answers

Step-by-step explanation:

Area of a trapezium = SOPS/2 × ph

Sops is the sum of 4+10 = 14

14/2 is 7. 7×4 = 28

A = 28cm²

Area = L×W

10×6= 60cm²

Emily was digging for gold. She dug a total of 40 feet deep into the ground. She dug 17% every minute. How far had she dug after 3 minutes?

Answers

Answer:

91 feet or 51

Step-by-step explanation:

17x 3= 51

51 + 40(what she dug before)

or it's just 51

Answer:

60.4 ft deep

Step-by-step explanation:

17% = .17

40 * .17 = 6.8 per hour

6.8 * 3 = 20.4

20.4 + 40 = 60.4 ft deep

In a birthday party all children got 3 candy's but 1 child got 2 candy's then if all children got 2 candy's then 8 candy is remaining how many andy's in total

Answers

Answer:

  22

Step-by-step explanation:

If there are n children, the number of candies in the first distribution is ...

  3n +1

If the same number of candies is distributed to the same n children, then the second distribution tells us ...

  2n +8 = 3n +1

  7 = n . . . . . . . . . subtract 2n+1. This is the number of children.

The number of candies is ...

  3(7) +1 = 22

There were 22 candies in total.

Answer:

22

Step-by-step explanation:

An airplane takes 8 hours to travel a distance of 5824 kilometers against the wind. The return trip takes 7 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Step-by-step explanation:

Let the speed of plane in still air = u km/h

Let the speed of air = v km/h

Against the air, the resultant speed = (u-v) km/hr

With the air, the resultant speed = (u+v) km/hr

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time }[/tex]

Given that:

Distance = 5824 km

Time taken against the wind = 8 hours

Speed against the wind:

[tex]u-v = \dfrac{5824}{8} \\\Rightarrow u-v = 728 ...... (1)[/tex]

Time taken with the wind = 7 hours

Speed with the wind:

[tex]u+v = \dfrac{5824}{7} \\\Rightarrow u+v = 832 ...... (2)[/tex]

Adding (1) and (2):

[tex]2u=1560\\\Rightarrow u = 780\ km/hr[/tex]

By equation (1):

[tex]780-v=728\\\Rightarrow v = 52\ km/hr[/tex]

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

What is the distance between the following points ?

Answers

Answer:

The square root of 85 (9.219544457 or 9)

Step-by-step explanation:

I got it correct on Khan Academy.

Hope this helps! :)

Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "X" or "y" to describe the unknowns.
the product of a number and eight

Answers

Answer:

8X

Step-by-step explanation:

it says the product, which is multiplication

of a number (lets call it X) and 8

so its 8*X

Answer:

8x

Step-by-step explanation:

it says the product, which is basically multiplication  of a number (which lets call X) and 8

so its 8*X

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                      PEACE!

Which is the simplified form of 5x + 2y - 3x + y ?

Answers

Step-by-step explanation:

5x + 2y - 3x + y

Solving like terms

2x + 3y

Answer:

5x +2y -3x +y

= 2x +3y

2x+3y is the simplified form.

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)

Answers

Answer:

x - 2y = - 2

Step-by-step explanation:

Given the following :

1/2 , (3, 4),

The equation of a line :

y = mx + c

m = slope ; c = gradient

m = 1/2

c = (y1 - x1) / 2

c = (4 - 3) / 2 = 1/2

Hence, y = 1/2x + 1/2

In standard form:

Ax + By = C

A and B integer Coefficient of x and y respectively

y = 1/2x + 1/2

1/2x - y = - 1/2

Multiply both sides by 2

x - 2y = - 2

Hence, standard form of the equation is :

x - 2y = - 2

estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 cm,length of the shadow of the tree:840 cm,calculate the height of the tree

Answers

Answer:

1303.45 cm

Step-by-step explanation:

The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.

Let x be the height of the tree. Setting the ratios equal, we get:

180/116 = x/840

Solve for x:

x = 840 * (180/116)

x ≈ 1303.45 cm

Are there rotations , transitions or reflections in a chair? ( Geometry 1 honors, I will mark brainly.) ASAP

Answers

Answer:

see below

Step-by-step explanation:

There are reflections in a chair.  It really would depend on the chair.  This chair  would have a reflection along the y axis.  I don't know of any chair with a translation.  

Within a chair, we can have designs that are translations or rotations in the patterns of the fabric

W/5=3 what does w equal

Answers

Answer:

w=15

Step-by-step explanation:

w/5=3

multiply by 5 on both sides

w=3*5

∴ w=15

Answer:

15

Step-by-step explanation:

If something over 5 is 3, that means w divided by 5 equals 3.

That can bve translated to W=3 times 5, which is 15.

Therefore, W= 15.

Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$

Answers

Answer:

  -6

Step-by-step explanation:

The parallel line can be written using the same x- and y-coefficients, but with a different constant:

  x +3y = constant

For the line to go through the given point, the constant must be ...

  (-7) +3(2) = constant

  -1 = constant

In order for the constant to be +3 instead of -1, the entire equation must be multiplied by -3:

  -3x -9y = 3   ⇒   A = -3, B = -9

Then the expression B-A is ...

  B -A = (-9) -(-3) = -6

The value of B - A is -6.

A cylindrical storage vessel is7cm in diameter and 6m long. Find its volumes. 211
231
251
271

Answers

Answer:

[tex] \boxed{ \huge{ \boxed{ \sf{ \bold{231 \: {cm}^{3} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

Given,

Diameter ( d ) = 7 cm

Radius is just half of diameter.

Radius ( r ) = 7 / 2 = 3.5 cm

Height ( h ) = 6 cm

Now, let's find the volume:

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {3.5}^{2} \times 6}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 12.25 \times 6}[/tex]

Calculate

⇒[tex] \sf{231 \: {cm}^{ 3} }[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is 231 cm^3

Step-by-step explanation:

This is a volume question so we will bring out the question comment first:

Diameter= 7 cm

Height =6 cm

We have to change the diameter to radius so we will do: the diameter which is 7 divided by two which will be 3.5.

We can now start proper.

Formula of volume=pile r square h

22/7 or 3.14 times the radius raised to power 2 times the height=

22/7 x 3.5^2 x 6=

22/7 x 12.25 x 6=

231 cm³

Hope it helps.

Is (-2,0) a solution of the graphed inequality

Answers

Answer: NO

Step-by-step explanation:

The line that separates the two part is a dashed line which means that the point on the lines are not in the solution

EXTRA: ONLY IF IT IS A SOLID LINE, THE POINTS WILL BE A SOLUTION

(-2,0) is on the dashed line, so it is not a solution

A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?​

Answers

Answer:

7.5$

Step-by-step explanation:

[tex]Original price = \$50\\Discount = 15\%\\\\\frac{15}{100} \times 50\\ = \$7.5\\[/tex]

divide 5kg in the ratio 13:7​

Answers

Answer:

1.75 kg

Step-by-step explanation:

13/20 of 5 = 13/20 x 5= 3.25 kg

and, 7/20 of 5 = 7/20 x 5=1.75 kg

so, divide, 5 kg in ration of 13:7 is:

3.25 kg : 1.75 kg

Answer:

3.25 Kg : 1.75 Kg

Step-by-step explanation:

Sum the parts of the ratio, 13 + 7 = 20 parts

Divide the amount by 20 to find the value of one part of the ratio.

5 Kg ÷ 20 = 0.25 Kg ← value of 1 part of the ratio, thus

13 parts = 13 × 0.25  =3.25 Kg

7 parts = 7 × 0.25 = 1.75 Kg

easy 10 points and brainliest :)

Answers

Answer:

y =0

Step-by-step explanation:

If we are on the x axis, the x value can change, but the y value is zero

Answer:

y=0

Step-by-step explanation:

Pretty please help me with this... I need this is about 40 minutes

Much appreciated!!

Answers

Answer:

1) 16 - 6 × (44 + 51 ) +76 -160

16 - 6 × 95 + 76 - 160

16 - 570 + 76 - 160

16 - 494 - 160

-638

2) 44 + 70 ÷ 2 × (49 + 51) × 2 × 0 + 1

44 + 70 ÷ 2 × 100 × 2 × 0 + 1

44 + 35 × 100 × 2 × 0 + 1

44 + 0 + 1

45

3) 4 + 20 × 7 - 66 × (44 + 51) × 0 + 4

4 + 20 × 7 - 66 × 95 × 0 + 4

4 + 140 - 6270 × 0 + 4

4 + 140 - 0 + 4

4 + 140 + 4

148

5) 69445 ÷ 70

992.0714

992.1

Step-by-step explanation:

6x² + 5x-2x
I am trying to do combining like terms

Answers

Step-by-step explanation:

To combine like terms, we need to find similar numbers. 5x and -2x can be simplified because they both end with x. 6x^2 is different because it ends with x^2. So to simplify, we subtract 2x from 5x to get 3x, and we add 6x^2 to get our answer.

Answer: [tex]6x^2+3x[/tex]

Answer:

6x² +3x

Step-by-step explanation:

We are given the expression:

[tex]6x^2 + 5x-2x[/tex]

and asked to combine like terms. Let's analyze the terms.

6x² ⇒ has a variable, x²

5x  ⇒ has a variable, x

2x  ⇒ has a variable, x

Now, let's group the like terms, 5x and -2x.

[tex]6x^2+ (5x-2x)[/tex]

Next, combine the like terms. Subtract 2x from 5x.

[tex]6x^2+(3x)[/tex]

[tex]6x^2+3x[/tex]

The expression 6x² +5x-2x simplified is 6x² +3x

The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation.

Answers

Answer:

(A) Domain : (-4, 3]

(B) Range : [ -2, 4)

Find the midpoint of the segment with the following endpoints. (-4, -9) (-10,-3)

Answers

Answer:

Step-by-step explanation:

(x1, y1) = (-4 , -9)   ; (x2, y2) = (-10,  -3)

[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)[/tex]

At a farmer's market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string beans? (Write your answer as a fraction.) ASAP whoever answers first will get brainlist

Answers

Answer:

Your answer will be 1/8

Pls halp due today >_<. Thank you

Answers

Answer: A. -6.007, -2π, -√48

Step-by-step explanation:

-2π ≈ -6.28

-√48 ≈ -6.93

-6.007 = -6.007

-----------------------

-6.007>-6.28>-6.93

-6.007>-2π>-√48

The answer is A
Hope this will help you.

what property is this 5(2+3)=(2+3)5

Answers

5(2 + 3) = 5(2 + 3)

10 + 15 = 10 + 15

25 = 25 ✔️

Find the value of the expression 2x squared + 3y squared - 17 when x = 3 and y = 4

Answers

Answer:

the value would be 49

Answer:

[tex]2x^{2} + 3y^{2} -17 \\x=3 ; y=4\\\\2*2^{2}+ 3*4^{2}-17\\8+48 -17\\=39[/tex]

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)

Answers

Answer:

(4,3)

Step-by-step explanation:

To find the midpoint add the end points and divide by 2

P(2,5)    S ( sx, sy)  and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)

Answer:

[tex]\huge \boxed{\mathrm{S(4,3)}}[/tex]

Step-by-step explanation:

We can use the midpoint formula to solve for the endpoint.

[tex]\displaystyle m=(\frac{x_1+x_2 }{2} ,\frac{y_1+y_2}{2} )[/tex]

The midpoint of PS is H.

[tex]\displaystyle \frac{2+x_2 }{2} =3 \ \ \ \frac{5+y_2}{2} =4[/tex]

[tex]\displaystyle 2+x_2 =6 \ \ \ 5+y_2 =8[/tex]

[tex]x_2=4 \ \ \ y_2=3[/tex]

S(4, 3)

how to do this question plz answer ​

Answers

Answer:

(⌐■-■)

Step-by-step explanation:

Add perimeter of a quarter circle with radius 7 cm.

Hope this helps....

Have a nice day!!!!

What is the solution to the proportion? Round the answer to the nearest tenth if necessary.

Answers

can i see the problem please ?

Answer:

problem please

Step-by-step explanation:

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