Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Determine whether y = 2x - 3 is a linear equation. If so, write the equation in
standard form.


Sagot :

Answer:

yes, y=2x-3 is linear

2x - y = 3  Standard Form

Step-by-step explanation:

since both the 'x' and 'y' variables have one as their exponents then this represents a linear equation

standard form: Ax + By = C

y = 2x - 3

subtract 2x from each side to get:

-2x + y = -3

divide each term by -1 to get (this is done so the leading coefficient is not negative)

2x - y = 3  Standard Form

Answer:

Yes, it's a linear equation. The standard form is 2x - y = 3.

Step-by-step explanation:

The equation y = 2x - 3 is in slope-intercept form. Slope-intercept form applies to linear equations/functions.

To convert slope-intercept into standard:

1. Subtract 2x from both sides.

  • [tex]y - 2x = 2x -3-2x[/tex]
  • [tex]-2x + y =-3[/tex]  

2. Multiply everything by -1.

  • [tex]-2x*-1+y*-1=-3*-1[/tex]  
  • [tex]2x-y=3[/tex]  

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘