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
Alborosie
3 years ago
11

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

Answer:

An equation in standard form for the line is:

\frac{5}{2}x-y=-4

Step-by-step explanation:

Given the points

  • (-2, -1) and (0, 4)

The slope between two points

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)

m=\frac{4-\left(-1\right)}{0-\left(-2\right)}

m=\frac{5}{2}

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

y-y_1=m\left(x-x_1\right)

Putting the point (-2, -1) and the slope m=1 in the line equation

y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)

y+1=\frac{5}{2}\left(x+2\right)

y=\frac{5}{2}x+4

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

y=\frac{5}{2}x+4

\frac{5}{2}x-y=-4

Therefore, an equation in standard form for the line is:

\frac{5}{2}x-y=-4

You might be interested in
What is the value of x?
kozerog [31]

Answer:

x = 35

Step-by-step explanation:

Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.

4x + 20 = 3x + 55

Have x on one side of the equation by subtracting 3x from both sides.

x + 20 = 55

Subtract 20 from both sides of the equation.

x = 35

4 0
3 years ago
Which is the side length of a cube with a volume of 2744 cm3?<br><br> Please help
Elis [28]
\sf~V=a^3

Plug in what we know:

\sf2744=a^3

Find the cube root of both sides:

\sf~a=\sqrt[3]{2744}

Simplify:

\sf~a=\boxed{\sf14}
3 0
3 years ago
Read 2 more answers
Eurostar is a high-speed railway service connecting
erma4kov [3.2K]

Answer:

Step-by-step explanation:

This is simply a units conversion problem.  It gives us for the number of passengers, the number of seats per carriage and the number of carriages per train.  To change the units from passengers to trains without changing the value, we use the multiplicative identity (that is, 1).

350000 passengers

(350000 passengers) * 1

(350000 passengers) * ((1 carriage)/(32 passengers)) * ((1 train)/(15 carriages)

   [note:  passengers and carriages cancel. Leaving only trains]

(350000)*(1/32)*(1/15) trains       [note: I write this way to paste into MS Excel]

729.1667  trains                 [oh, but don’t just round this number either up or down]

   729 full trains can carry 729*32*15 = 349920 passengers

   730 full trains can carry 730*32*15 = 350400 passengers

Now, we can say that 730 trains are adequate to carry 350000 passengers.

6 0
3 years ago
please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min
aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0
1 year ago
What are two equivalent fractions for 1/2
pogonyaev
50/100
5/10
hope that helped :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu . assum
    6·1 answer
  • Help with my question :<br><br> 8x•6-4^3(8x•3)-45=12
    9·1 answer
  • How do you use an exponent to represent a number such as 16
    12·1 answer
  • Help me I WILL GIVE BRAINLEST
    13·1 answer
  • Sal built a card table with a top area of 900 square inches. What is the length, in inches, of one side of the table?
    7·2 answers
  • What is the absolute value of negative 3 1/2
    13·2 answers
  • Based on the theoretical probability, how many times would you expect to pick a yellow skittle if you pick 150 times?
    14·2 answers
  • If a ball rolled 1 mile in 1 second what is the speed?​
    15·1 answer
  • Find the measure of y.<br><br><br><br><br> 145°<br><br><br> 130°<br><br><br> 129°<br><br><br> 134°
    8·1 answer
  • Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!