Write the equation of a line going through the points (4,2) and (7,-3).

Answers

Answer 1

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0


Related Questions

please help me i’ve been struggling PLEASE !!

Answers

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation:

If h(a)= 3a+5 and h (a) = 27 the what is the value of a?

Answers

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that (a) = 27, so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

Answer: 22/3 or 7,(3)

Solution:

h(a)=3a+5

h(a)=27

3a+5=27

3a=27-5

3a=22

a=22/3

a=7,(3)

What is the value of x?
A. 6
B. 5
c. 4
D.3

Answers

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

Evaluate the function. f(x) = 3x² – x Find f(10)​

Answers

Answer:

f(10)=290

Step-by-step explanation:

Function Evaluation

Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.

We are given the function:

[tex]f(x)=3x^2-x[/tex]

It's required to find f(10). We replace the x for 10:

[tex]f(10)=3*10^2-10[/tex]

Operating:

[tex]f(10)=3*100-10[/tex]

[tex]f(10)=300-10[/tex]

[tex]f(10)=290[/tex]

Thus, f(10)=290

Harold expects 20 people at his birthday party, but 17 attended. What was the percentage of error?


19.40%

17.64%

32%

16.3%

Answers

17.64% is the percentage of error.

Proportional or Non-Proportional

Answers

Answer:

Non-Proportional

Step-by-step explanation:

It goes through (0,0) ; (1,1) ; so it should go through (2,2) ; but it goes through (4,2). Therefore it is not proportional.

Solve p = 11/2 n + 22 for n​

Answers

n= 2P/11 -4. I think. Good luck!!

A number consists of two digit whose sum is five
when the digit irreversible, the no. become greater by nine .find the number​

Answers

Answer:

23

Step-by-step explanation:

Help me please with This no need to explain

Answers

Answer:

C

.....................

If someone could please help me I really need help me with geometry

Answers

Answer:

VU = 8

KL = 19

ΔS = 120°

ΔF = 130°

HOPE IT HELP

PLZ FOLLOW ME

Use complete sentences to describe why postulates are helpful.​

Answers

Postulates are statements that are assumed to be true with out proof

Find the exact value of tan 150° in simplest form with a rational
denominator.

Answers

Step-by-step explanation:

tan150°

= -tan30°

= -√3/3.

can someone please help me with this question? thankyou!

Answers

Yea I will try 393 to get the answer I’ll get back to you in a sec

Written as a simplified polynomials in standard from, what is the results when (3x+8)^2 is subtracted from 9

Answers

Can you take a pic of the question cuz this is confusing me a little

what is m

picture below!!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a pentagon is a polygon with 5 sides and 5 angles.

Given the polygon with 5 angles.

A pentagon is a polygon with 5 sides and 5 angles.

The angles of the given pentagon are:

∠P = (4x + 2)°

∠Q = 132°

∠R = (4x - 10)°

∠S = (5x - 11)°

∠T = 128°

We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.

Therefore,

∠P + ∠Q + ∠R + ∠S + ∠T = 540°

(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°

group similar elements

4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

simplify

13x + 241 = 540

subtract 241 from both sides

13x + 241 - 241 = 540 - 241

13x = 299

divide both sides by 13

13x/13 = 299/13

x = 23

Thus, the value of x = 23

Therefore, the measure of angle ∠S is:

m∠S = (5x - 11)°

        = (5(23) - 11)°

        = (115 - 11)°

        = 104°

Thus,

m∠S = 104°

what is the value of X=?
Write your answer in the box below.
X= _____

Answers

Answer:

39

Step-by-step explanation:

Answer:

39 degrees

Step-by-step explanation:

by the triangle angle sum theorem, the 3 angles of triangles must add up to 180 degrees.

Therefore, 102 degrees + 39 degrees + x = 180 degrees

141 degrees + x = 180 degrees

x = 39 degrees

Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.

Answers

Answer:

I think is 280km :))))))

Answer:

Andre covered 280km.

Step-by-step explanation:

I would say make a proportion:

?= distance covered

4 - 160

7 - ?

Solve: 7×160÷4=280.

Simplify the ratio 9:36

Answers

Answer:

1:4

Step-by-step explanation:

Thats it

Answer:1/4

Step-by-step explanation:

Evaluate (-4)^(-2)..........................................................................................................

Answers

Answer:

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Step-by-step explanation:

Explanation:-

Given    (-4)⁻²

we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]

       (-4)⁻² =  [tex]\frac{1}{(-4)^{2} }[/tex]

                [tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]

               [tex]= \frac{1}{16}[/tex]

 [tex](-4)^{2} = \frac{1}{16}[/tex]

And lastly this one please? Thank you so much

Answers

Answer:

1 ) x = 20

2) x = 31.92

plz follow me

Evaluate (-2)3+(-2)4

Answers

Your answer is -14 :)
That would be -14. See the attached steps! Remember to use PEMDAS.

17. GradPoint

Guided Practice


Ann receives a 4% commission on her sales. Her last paycheck included $196 in commissions. Solve the formula C = 0.04s for s, where C is the amount of commission and s is the amount of sales. Then substitute to find her sales.


A.
$4,900


B.
$7.84


C.
$196.04


D.
$195.96

Answers

Answer:

A-$4,900

Step-by-step explanation:

Answer:

The answer is A. $4,900

Step-by-step explanation:

$196 in commissions  => a = 196

s = a / 0.04 = 196 / 0.04 = $4900 = Ann's sales

so the answer for Ann's sales is $4,900

I’m still getting this thing up to 100%. NO MATTER WHAT THE COST IS.

Answers

Answer:

8 is the answer.

Step-by-step explanation:

Think of 7 positive things and 8 negative things.

O O O O O O O

P P P P P P P P

7 of the positive things will cancel out 7 of the 8 negative things, leaving behind 1 negative things.

#teamtrees #WAP (Water And Plant)

(Multiple choice/ Most Brainly will be rewarded)
Can I please have some help on this question.
(Zoom in if needed)

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

make both equations equal to y

so for the first one subtract 2x from both sides getting -y=-2x-1 and then multiply the entire equation by -1 and you end up with y=2x+1

and for the second one subtract 4x from both sides getting -2y=-4x-2, multiply the entire equation by -1 which gets you 2y=2x+2 and then divide the whole equation by 2 which brings you to y=2x+1

then getting rid of y and making them equal to each other gets 2x+1=2x+1 and therefore the answer is infinitely many solutions

75=n+12 what is the full problem and check your answers with simplifacation

Answers

Answer:

63

Step-by-step explanation:

Next time subtract 75 and 12 .-.

Least to greasiest. 1.7 17% 1/4

Answers

Answer:

17%, 1/4, 1.7

Step-by-step explanation:

Convert each to decimals: 17% = .17, 1/4 = .25, then order from least to greatest

Please answer:)fast I need to sleep

Answers

Answer:

20

Step-by-step explanation:

if the container can only hold 3000 pounds, and all of the boxes weigh 150 pounds, then you divide 3000 by 150 to find how many boxes can fit.

3000 divided by 150 = 20

hope this helps! :)

Answer:

20

Step-by-step explanation:

[tex]divide[/tex] 3,000 ÷ 150≈20 To check do 20×150 and you should get the answer 3,000

Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?

Answers

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

Does the following system of equations have :
Infinitely many solutions
or
No solution ?

2:+y = 2
y = -21 - 1

Answers

Answer:

Infinite many solutions

Step-by-step explanation:

Five italian chefs came together to bake the worlds largest pizza. Its diameter is 60 feet long. Which of these is the closest to the area of the pizza.

A: 188.4 square feet
B: 11,304 square feet
C: 2,826 square feet
D: 376.8 square feet​

Answers

The Answer will be C) 2,826 square feet

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