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
OverLord2011 [107]
3 years ago
6

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

Mathematics
1 answer:
olganol [36]3 years ago
8 0

Answer:

The equation of the line is.

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

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is.

\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}

\frac{x}{-4}=\frac{y+4}{6+4}

-\frac{x}{4}=\frac{y+4}{10}

-\frac{10x}{4}=y+4

-10x=4(y+4)

-10x=4y+16

4y=-10x-16

The above equation is divided by 2 both sides.

2y=-5x-8

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

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is y=-\frac{5}{2}x-4

You might be interested in
Dimensions definition
Travka [436]
Marie has a small copy of Rene margrittes famous painting. The Schoolmasters. Her copy has dimensions of 2 inches by 1.5 inches. The scale of her copy is 1 inch:40 cm What is the dimensions of the original painting?


Every 1 inch on her copy is the same as 40 cm on the original. 
You just have to multiply by 40 and convert to centimetres.

2 x 40 = 80
1.5 x 40 = 60

So the original painting is:
80cm by 60cm
3 0
3 years ago
Using numbers and operations to write each phrase as an expression the difference between 58 and 47
evablogger [386]
58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven

Hope this helps!

4 0
3 years ago
Assume that a​ student's alarm clock has a 11.2 ​% daily failure rate. What is the probability that the​ student's alarm clock w
postnew [5]
Daily failure rate = probability that it will not work on any particular day.


6 0
3 years ago
!!HELP PLEASE WILL MARK AS BRAINLIEST!!
Tpy6a [65]
They are parallel when the slopes are the same

example:

y=2x+3
y=2x-5
5 0
3 years ago
What number cube has faces numbered 1 to 6.
mars1129 [50]

Answer:

I don`t see the attachment

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What are the constant proportionality y=0.2x
    12·2 answers
  • Help me please thank you
    10·1 answer
  • #5 Please help ASAP w/ question
    13·2 answers
  • I need help pls<br> 11+4b=8b-13<br> b=?
    7·1 answer
  • HELP ME PLEASE ASAP !
    13·1 answer
  • What is the next number in the following series 3, 15, 35, 63?
    9·1 answer
  • Question below in image
    15·1 answer
  • Find the diameter of the object. 2in
    14·2 answers
  • Simplify each expression
    13·1 answer
  • Graph the exponential function<br><br> f(x) = (3/5)^x<br><br> x = -2, -1, 0, 1, 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!