1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katarina [22]
2 years ago
5

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Mathematics
2 answers:
mars1129 [50]2 years ago
8 0

Answer:the answer is A

Step-by-step explanation:

olchik [2.2K]2 years ago
5 0

Answer:

The answer is

<h2>y =  -  \frac{2}{3} x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

<h3>m =  \frac{ - 1 - 7}{9 + 3}  =  -  \frac{8}{12}  =  -  \frac{2}{3}</h3>

Now we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

<h3>y - 7 =  -  \frac{2}{3} (x + 3) \\ y - 7 =  -  \frac{2}{3} x - 2 \\ y =  -  \frac{2}{3} x - 2 + 7</h3>

We have the final answer as

<h3>y =  -  \frac{2}{3} x + 5</h3>

Hope this helps you

You might be interested in
Equation with a slope of -4 and goes through the point (-1,1)
spin [16.1K]
<h2>SOLVING</h2>

\Large\maltese\underline{\textsf{A. What is Asked}}

What's the equation with a slope of -4 that goes through (-1,1)? find it

\Large\maltese\underline{\textsf{B. This problem has been solved!}}

The equation used, here is \bf{y-y1=m(x-x1)}.

\bf{y-1=-4(x-(-1)} | simplify after putting in the information given

\bf{y-1=-4(x+1)}

\rule{300}{1.7}

\bf{Result:}

                          \bf{=y-1=-4(x+1)}

\boxed{\bf{aesthetic\not101}}

8 0
1 year ago
P is the midpoint of HR. Given HP = 7x + 2 and PR = 58; find the value of x
Zielflug [23.3K]

Answer:

x = 8

Step-by-step explanation:

Since P is at the midpoint of HR, then

HP = PR ← substitute values

7x + 2 = 58 ( subtract 2 from both sides )

7x = 56 ( divide both sides by 7 )

x = 8

6 0
3 years ago
I wasn't at school when they were teaching theoretical and experimental experimental. can someone explain how it works and give
Alexandra [31]
Hey I am just like u I wasn't at school I have been waiting for 1 hour and Noone had answer me I am sad I am going to fail
5 0
3 years ago
11) A 'good' children's book is supposed to have pictures and text in the ratio 17:8. In a book I have just looked at,
Andre45 [30]

Answer:  128 pages are text

Step-by-step explanation:

7 0
3 years ago
Use the substitution of x=e^{t} to transform the given Cauchy-Euler differential equation to a differential equation with consta
kherson [118]

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dt}=x\dfrac{\mathrm dy}{\mathrm dx}

which follows from x=e^t\implies t=\ln x\implies\dfrac{\mathrm dt}{\mathrm dx}=\dfrac1x.

\dfrac{\mathrm dy}{\mathrm dt} is then a function of x; denote this function by f(x). Then by the product rule,

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dt}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm df}{\mathrm dx}

and by the chain rule,

\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac1x\dfrac{\mathrm d^2y}{\mathrm dt^2}

so that

\dfrac{\mathrm d^2y}{\mathrm dt^2}-\dfrac{\mathrm dy}{\mathrm dt}=x^2\dfrac{\mathrm d^2y}{\mathrm dx^2}

Then the ODE in terms of t is

\dfrac{\mathrm d^2y}{\mathrm dt^2}+8\dfrac{\mathrm dy}{\mathrm dt}-20y=0

The characteristic equation

r^2+8r-20=(r+10)(r-2)=0

has two roots at r=-10 and r=2, so the characteristic solution is

y_c(t)=C_1e^{-10t}+C_2e^{2t}

Solving in terms of x gives

y_c(x)=C_1e^{-10\ln x}+C_2e^{2\ln x}\implies\boxed{y_c(x)=C_1x^{-10}+C_2x^2}

4 0
3 years ago
Other questions:
  • Find the distance between m (-2,3) and n (8,2)
    8·2 answers
  • What is 7,298,341 rounded to the nearest ten thousands
    13·2 answers
  • 7 squaerd - 5 squaerd dived by 34
    6·1 answer
  • Please answer quickly.
    15·1 answer
  • Find all zeros. One zero had been give
    11·1 answer
  • Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What
    6·1 answer
  • Can someone help me with this
    5·1 answer
  • Hey o again answer this ppl
    11·2 answers
  • Which equation best represents the graph?
    10·1 answer
  • Solve this equation: 8(3x - 6) = 6(4x + 8)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!