garrettgarcia42 garrettgarcia42
  • 04-08-2020
  • Mathematics
contestada

line and passes through C -2,0 in the 1, -3) Quetion of the line in standard form

Respuesta :

gmany
gmany gmany
  • 04-08-2020

Answer:

[tex]\huge\boxed{x+y=-2}[/tex]

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-2, 0) and (1, -3).

Substitute:

[tex]x_1=-2;\ y_1=0;\ x_2=1;\ y_2=-3[/tex]

[tex]m=\dfrac{-3-0}{1-(-2)}=\dfrac{-3}{1+2}=\dfrac{-3}{3}=-1\\\\y-0=-1(x-(-2))\\\\y=-(x+2)[/tex]

[tex]y=-x-2[/tex]         add x to both sides

[tex]x+y=-2[/tex]

Answer Link

Otras preguntas

An object with mass 60 kg moved in outer space. When it was at location < 13, -19, -3 > its speed was 3.5 m/s. A single constant force < 220, 320, -120
wats the 60% off a prize that is $20.00
wats the 60% off a prize that is $20.00
If f(x) is 4x-3 what is (f^-1of) (10)
Write a complete reaction of succinic acid and acetic anhydride
You would expect a phosphorous-chlorine bond to be 1. nonpolar, with the neither end having a partial charge. 2. polar, with neither end having a partial charge
The Habsburg Empire did all of the following EXCEPT A. take control of Hungary, Croatia, and Slovonia. B. lose their Holy Roman Empire in Germany. C. remain a c
List all integers between -0.6 and 4.17 THANK U
Compute the odds in favor of rolling a sum of 10 in a single roll of two fair dice
write an equation that is perpendicular to the line y = 2x + 13?