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
mezya [45]
3 years ago
8

A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -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-4=-5(x-10)


now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,


\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft

You might be interested in
Need help !!!!!!!!!!!!!!!!!!!
Lesechka [4]

Answer:

I'm guessing the answer is B againn XD

must be a lucky day for B!!

8 0
3 years ago
Determine which system below will produce infinitely many solutions.
mariarad [96]
A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.

An easy way to determine if they will produce infinitely many solutions is to put all the equations into y=mx+b form. If everything is the same, you know it will have infinite solutions.


4 0
3 years ago
Read 2 more answers
The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent
solniwko [45]

The answer is 15x + 15

Each person needs to pay x dollars per hour, and also 3 dollars for a helmet

Let us convert this into a pseudo-expression:

1 person = (x dollars) x (y hours) + 3 dollars

Now, it says that there are 5 people, so we need to multiply both sides by 5

5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars

Furthermore, it says that each person wants to go horseback riding for 3 hours:

5 people = 5(x dollars) x (3 hours) + 15 dollars

Now, we just need to convert this into an expression

5 people = 5(x)(3) + 15

5 people = 15x+15

They want the expression for cost, so we just need to give them

15x + 15

5 0
3 years ago
Someone please help me❤️ Urgently with at least 1
Oksanka [162]

Answer:

See step-by-step explanation

Step-by-step explanation:

Question 3: (4, -3)

Solving through elimination: Multiply the first equation by -3.

-3x+6y=-30

3x-5y = 27

Add. The x drops out.

y= -3

Substitute -3 in for y.

x-2y=10

x-2(-3)=10

x+6=10

x=4

Question 4: (2,5)

Solve through elimination: Multiply the second equation with 3.

\frac{3}{2} x+y=8

\frac{9}{4} x-y=-\frac{1}{2}

3/2= 6/4

15/4x=7.5

x=2

3/2 (2) + y = 8

3+ y =8

y=5

Question 5: (6,4)

Use your graph to graph.

y=-\frac{1}{3} x+6

Slope of -1/3

Y-intercept of 6 (0,6)

X-intercept of 18 (18,0)

y=\frac{3}{2} x-5

Slope of 3/2

Y-intercept of -5 (0,-5)

X-intercept of \frac{10}{3} (

Question 6: (5, -7)

Ax+2By=-41

4Ax-By=88

3A+2B(4)=-41

4A(3)-B(4)=88

Solve by substitution:

Words of encouragement:

Good luck!

8 0
3 years ago
If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance betwee
Marizza181 [45]

Answer:

72km

Step-by-step explanation:

10 miles =16km

45milrs=x km

xkm= 16*45/10

=72km

6 0
3 years ago
Other questions:
  • the moon is 240,000 from earth what is the distance written as a whole number multiplied by a power of ten
    12·1 answer
  • Write each as a fraction 42 percent
    9·2 answers
  • In 2009, the world's largest pumpkin weighed 784 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2009 world-record p
    13·1 answer
  • If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on
    9·1 answer
  • HELP ME NEED HELP WILL GIVE 20 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!​
    5·1 answer
  • -6.3x+14 and 1.5x-6<br> answer in simplified form
    15·1 answer
  • A computer chip manufacturer made 270,000 chips last week. If 8% of them were defective, how many defective chips were made?
    11·1 answer
  • Sandy recently made a 210-mile car trip, starting from home at noon. The graph at right shows how Sandy’s distance from home (me
    12·1 answer
  • ¿Por qué la luna no se sale de su órbita y siempre gira en torno a la tierra?
    7·2 answers
  • CAN SOMEONE HELP ME!!!!!!!!!!!!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!