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
Nataly [62]
3 years ago
12

A line includes the points (10,-5) and (-10,-1). What is the equation in slope intercept form?

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3

You might be interested in
Write an equation in point-slow form for the line through the given point with the given slope.
timofeeve [1]
It's a because the form is y-y1=m(x-x1) and of you put the given information in it will be y+1=-(x+10)
5 0
3 years ago
Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0
STALIN [3.7K]

\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0

This ODE has characteristic equation

r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)

=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0

which has roots at r=1,-1\pm i. Then the characteristic solution to the ODE is

u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}

\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}

6 0
3 years ago
What is the percentage chance of a solution 150 g active ingredient in a total of 1000 mL of solution
Andrej [43]

Answer:6.6666666667

Step-by-step explanation:just divided it

4 0
3 years ago
Can you guy help for this questing <br> 1234
postnew [5]

Answer:

1. Median

2. Altitude

3.  Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right  angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3.  Makes a right angle. Altitude

4. Doesn't make a right  angle or split the sides. Neither

4 0
3 years ago
How do you find (2+4i)^3 in rectangular form?
marshall27 [118]

(2+4i)^3=8+48i-96-64i=-88-16i

8 0
3 years ago
Read 2 more answers
Other questions:
  • An iceberg weighs 450,000 pounds. If it loses 0.2% of its weight in a day, what is its new weight at the end of the day?
    5·2 answers
  • A person walks
    10·1 answer
  • Elmer works in a computer store. He is paid a weekly salary $180 and a commission of 4.5% of all sales. One week, he sold $9770
    7·1 answer
  • Find the difference:
    11·1 answer
  • Will mark BRAINLIEST if you just answer this one question and show your work, thank you! please help asap​
    5·1 answer
  • Find the length and width<br> A= 20 cm2<br> P= 18cm
    8·1 answer
  • A restaurant purchased 18 cases of hamburgers with 26 hamburgers in each case. Since that time they sold 73 hamburgers. How many
    13·1 answer
  • When building a math test, the teacher creats thrrr difficult problem for every five easy problem. If the teacher is creating a
    9·1 answer
  • The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
    14·1 answer
  • A piece of wire, 12.55m long is cut into 50 pieces of equal length. How long is each piece?​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!