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
Phoenix [80]
3 years ago
9

Write the standard form of the line that passes through (-1,-3) and (2,1).

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\

\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\

Convert equation to standard form

y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5

You might be interested in
What is the value of c?
GaryK [48]

Answer:

180-96 will be the value for c

now do the calculation urself

7 0
3 years ago
Find the negation of statement <br>2+5=5​
chubhunter [2.5K]

Answer:

Can u mark brainelst plz?

Step-by-step explanation:

x − 1  >  5

x  > − 6

x  +  1  ≥  9

7 0
3 years ago
(2x + 3) •x • (4x + 1)
Virty [35]

Answer:

If your trying to simplify then your answer would be 8x^{3} + 14x^{2} +3x

6 0
3 years ago
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. Wha
Aliun [14]

Answer:

5

Step-by-step explanation:

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

5 0
3 years ago
The ratio to hearts to moons is | The ratio of moons to all shapes is. I need help due in 10 minutes
Alinara [238K]

Hearts to moon= 6:4

                         = 3:2 (simplified)

Moon to all shapes= 4:10

                               = 2:5 (simplified)

4 0
3 years ago
Read 2 more answers
Other questions:
  • suppose y varies directly with x, and y = 8 when x = -6. what direct variation equation relates x and y? what is the value of y
    5·1 answer
  • Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
    15·1 answer
  • Hamilton High School has 900 students in school. There are 60 more girls than boys.
    7·1 answer
  • Estimate: -√82<br> A. -9, 0<br> B. -9, 9<br> C. -9<br> D. 9
    7·1 answer
  • 25 seats in his classroom and 25 students. He wants to know how many seatting arrangements there are. How would you solve
    15·1 answer
  • I need help with this
    8·2 answers
  • What is the answer for this question?<br><br> X + 3/5=7/10
    5·1 answer
  • Help pleaseeeeeeeeeeeeee
    6·1 answer
  • You want to buy a $59 xbox game. How much tax will you pay with 5.5% sales tax? asap besties &lt;3
    8·2 answers
  • Find the volume of a smaller wedge cut from a sphere of radius 66 by two planes that intersect along a diameter at an angle of π
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!