Question

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

Answer 1

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

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.

• 
  `y - 2x = 2x -3-2x`
• 
  `-2x + y =-3`

2. Multiply everything by -1.

• 
  `-2x*-1+y*-1=-3*-1`
• 
  `2x-y=3`

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

~ ren ⚘

Answer 2

yes, y=2x-3 is linear

2x - y = 3 Standard Form

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