Write the equation of the line whose slope and the point through which it passes are given. Express
the equation in point-slope form.
(4,0) and slope m=-7

Answers

Answer 1

Answer:

[tex]y-0=-7(x-4)[/tex]

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

The line passes through the point (4,0) and has a slope of -7. The equation of the line is:

[tex]y-0=-7(x-4)[/tex]

This is the point-slope form of the line.


Related Questions

what is 1/10 of 4.8​

Answers

Answer:

0.48

Step-by-step explanation:

Just move back one decimal point of 4.8

Answer: I just did this one lol

Step-by-step explanation:

10 percent *4.8 =

(10:100)*4.8 =

(10*4.8):100 =

48:100 = 0.48

Now we have: 10 percent of 4.8 = 0.48

Question: What is 10 percent of 4.8?

Percentage solution with steps:

Step 1: Our output value is 4.8.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$4.8=100\%$.

Step 4: Similarly, $x=10\%$.

Step 5: This results in a pair of simple equations:

$4.8=100\%(1)$.

$x=10\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{4.8}{x}=\frac{100\%}{10\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{4.8}=\frac{10}{100}$

$ x=0.48$

All copper has a density of 8.83g/cm3. True Or False.
please help ​

Answers

Answer:

False

Step-by-step explanation:

Copper actually has about 8.96 g/cm3

Answer: No

Step-by-step explanation:

-6 + 14 - 9 - (-3) + 8

Please help

Answers

Answer:

10

Step-by-step explanation:

−6+14−9−(−3)+8

=8−9−(−3)+8

=−1−(−3)+8

=2+8

=10

-6 + 14 - 9 - (-3) + 8

8 - 9 - (-3) +8

-1 + 3 + 8

2 + 8

10

Difference between (-7x+7) - (-8x-9)

Answers

Answer:

x + 16

Step-by-step explanation:

= (-7x +7) - (-8x-9)

= -7x+7+8x+9

*[positive because negative (outside the bracket) multiplied by negative (inside the bracket) will be positive.]

= -7x+8x+7+9 (rearranging like terms together)

= x + 16

3 multiplied by what equals 4.5

Answers

Answer:

3 multiplied by 1.5 equals 4.5

Step-by-step explanation:

3*x= 4.5   We can do division

3x/3 = 4.5/3

x = 1.5

3 multiplied by 1.5 equals 4.5

Hope this helps!

FIND MEASURE 1 AND 3
PLS HELP ME
geometry

Answers

Answer:

1 = 45

3 = 45

Step-by-step explanation:

[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.

Find the distance between the two points in simplest radical form.
(3,9)and (0,2)

Answers

Answer:

7.62

Step-by-step explanation:

use distance formula

Simplify: 45÷3+2×8-12+42

Show working

Answers

I hope it helps you:)
Answer: 61

Hope this helps

___ student(s) for every 8 computers.

45 students for every __ computer(s).

Answers

Answer:

_18__ student(s) for every 8 computers.

45 students for every _20_ computer(s).

Step-by-step explanation:

18 students for every 8 computers 45 students for every 20 computers

Find the percent of decrease. Round to the nearest whole percent.
old: 374 boxes; new: 130 boxes

Answers

Answer:

B

Step-by-step explanation:

Please HELP!!!!!!!!!
20 POINTS!

Answers

I believe it’s B hope this helps

Quick help!!!!!!!!Consider the polynomial expression below
X^3 -3x^2 +81x-243

Rewrite the polynomial in the form (x-d) (x-e) (x+f) where D is a real number and E and F are complex numbers of the form BI

Answers

x³-3x²+81x-243

x³-3x²+81x-243

Answer : (x-3)(x²+81)

5 less than triple the quotient of a number x and 7

Answers

Answer:

5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5

plz help ASAP matswatch

Answers

Answer:

Step-by-step explanation:

If B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14, then what is the length of AB?

Answers

Answer:

The length of AB: 34

Step-by-step explanation:

What are we given?

B = Midpoint of AC

AB = 8x + 2

BC = 5x + 14

|--------------|--------------|

A               B               C

(This is what your line would look like)

Our equation would be:

AB + BC = AC

(8x + 2) = (5x + 14)

(AB)      =        (BC)

(Assuming that our line and points are evenly spread out, we can say that they can equal each other)

8x + 2 = 5x  +14

- 5x- 2 = -5x -2

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

3x = 12

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

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

x = 4

1) Substitute

(8x + 2) + (5x + 14) = AC

    (AB) + ( BC)       = AC

AB = 8(4) + 2

32 + 2

= 34

BC = 5(4) + 14 =

20 + 14

= 34

(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)

The length of the line segment AB is 34 units.

Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.

What is the midpoint of line segment?

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

Since, B is the midpoint of AC

AB=BC

8x + 2=5x+14

Subtract 5x on both sides of the equation, that is

8x+2-5x=5x+14-5x

⇒ 3x+2 = 14

Transpose 2 to other side of the equation, we get

3x = 14 - 2

⇒ 3x=12

Transpose 3 to other side of the equation, we get

x=4

So, AB=8x+2

=8×4+2

=32+2=34 units

Therefore, the length of the line segment AB is 34 units.

To learn more about the line segment visit:

https://brainly.com/question/25727583.

#SPJ5

Plz help me quickly
what is the product of 9⋅(−4)⋅(−4)⋅(−7)


A. −1008

B. −252

C. 252

D. 1008

Answers

Answer:

A. -1008

Step-by-step explanation:

9x-4=-36

-36x-4=-144

-144x-7=-1008

Answer:

just go on playstore and search for photomath

BRAINLIEST PLEASEEEE HELP DUE IN 3hrs Can someone help me with this

Answers

Answer:

Step-by-step explanation:

14: k^-3/k^4= 1/k^7

15: answer : 1/3²

16: n^-4

17: f-g^4 = 3-(-5)^4 = -622

18: (x^5-y^2)²+x³ =

(2^5-8^2)²+2³ =1032

19: m²-n³

6²-2³ = 36-8=28

20 : 2²×3²×5³= 4500

4500/10 = 450 islands


I really need help with the last one if you could help it would be awesome! Tysm.

Answers

it’s the second one..................

OMG I need halp and this is 8th grade math can someone help me I would really appreiate it.☺

Answers

Answer:

Eliana saves at a greater rate because her unit rate of $42 per week is greater than Lana's unit rate of $40 per week

hope this helps =3

sorry if im wrong

Q.3] Formula of (a - b)3 is​

Answers

waaaaaittttttttttttttttttttttttttttttttt

John is 5 years older than Randy. Oscar is twice as old as Randy. How old are each of the three boys is the sum of their ages is 85?​

Answers

Randy: 20 years old John: 25 years old and Oscar is 40 years old

Evidence: (5+x)(x)(2x) = 85
4x +5 = 85
4x = 80
x= 20 which is Randy’s age
20+ 5= 25 which is Johns age
20 • 2 = 40 which is Oscar’s age

Pls help I’m being timed.

Answers

Answer:

x=5

Step-by-step explanation:

trust me its right

Four times Theo’s number added 20 is 10. what is theo’s number ?

Answers

Theos number is -2/5

4x + 20 = 10
-20 -20
4x = -10
x = -4/10
x = -2/5

Answer:

ur mom

Step-by-step explanation:

genehrrddjdhxxhdhdi hope this didnt help

An item has a listed price of $70. if the sales tax sales is 8% , how much is the sales tax ( in dollars ) ?

Answers

Answer:

$5.60

Step-by-step explanation:

$70 ⋅ 0.08 = $5.60

(I could be wrong. Sorry if I am. Don't get mad at me)

Hope I help :)

Please consider Brainliest :)

Write the equation of a line that is perpendicular to y= 3x-2 and that passes through the point (-9,5)

Answers

Answer:

Ans: y = (-1/3)x + 2

Step-by-step explanation:

Perpendicular lines have slopes whose product is -1.  The slope given in

y = 3x - 2

is -3.

The slope of the perpendicular line will be m, and m needs to satisfy the equation

3 * m = -1

Hence m = -1/3.

Our perpendicular line is thus

y = (-1/3)x + b

for some constant b.

We are told that the perpendicular line goes through the point (-9,5).  If so, then the following must hold:

5 = (-1/3)(-9) + b

= 3 + b

b = 2

Ans: y = (-1/3)x + 2

[tex]\frac{3}{5} /8[/tex]

Answers

The answer is 0.075 or 3/40

Answer:

[tex]\huge\boxed{\frac{\frac{3}{5}}{8}=\dfrac{3}{40}}[/tex]

Step-by-step explanation:

[tex]\dfrac{a}{b}=a:b\\\\a:b=a\cdot\dfrac{1}{b}\\\\========================\\\\\dfrac{\frac{3}{5}}{8}=\dfrac{3}{5}:8=\dfrac{3}{5}\cdot\dfrac{1}{8}=\dfrac{3\cdot1}{5\cdot8}=\dfrac{3}{40}[/tex]

A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?

12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these

Answers

Answer:

12/sin5°

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(angle)*ladder=wall

ladder=wall/sin(angle)

Now the given values are used:

ladder=wall/sin(angle)

ladder=12ft/cos(51°)

Divide £506 in the ratio 2:4:5

•£92, £184 and £230
•£92, £184 and £240
•£92 , £180, £234

Answers

Answer:

2x+4x+5x=506

11x=506

x=46

92:184:230

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.


Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.

Answers

Answer:

Step-by-step explanation:

x + 64 > = 120 (thats a greater then or equal sign)

x > = 120 - 64

x > = 56...he needs to collect at least 56 more

This is confusing I need help .

Answers

Answer:

x = 54angle ACD = 124°

Step-by-step explanation:

The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).

You are expected to use this relation to write and solve an equation.

  exterior angle = angle D + angle B

  (2x +16) = 58 + (x+12)

  2x +16 = x +70

  x + 16 = 70

  x = 54

Then angle ACD is ...

  angle ACD = (2x +16)° = (2·54 +16)°

  angle ACD = 124°

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