y=1/2x-4 in standard form

Answer 1

Recall the standard form of a linear equation:

ax+by = c

where

a, b, c are constants. Typically for standard form, it's preferred that these are integers.

Look up and review the definition of an integer if you are unfamiliar.

Your goal is to use algebra to manipulate the equation you're given y=1/2x-4, into the form above.

y=1/2x-4 [original equation]

-1/2x + y = -4 [subtract 1/2x from both sides]

-x + 2y = -8 [multiply both sides by 2; remember that you want to constants as integers]

Please reach out and schedule some time if you still need help.

Answer 2

A standard form linear equation is written as Ax + By = C where A, B, and C are constants (usually integers), and x and y are variables.

y = (1/2)x - 4

-(1/2)x + y = -4 [subtract (1/2)x from both sides]

-x + 2y = -8 [multiply both sides by 2]

-x + 2y = -8 is our linear equation in standard form where A = -1, B = 2, and C = -8.

Hope this was helpful.

Answer 3

Step 1: Eliminate the fraction

Multiply through by 2 to get rid of the fraction:

2y=x−8

Step 2: Rearrange terms

Move x to the left side:

−x+2y=−8

Step 3: Standardize A

In standard form, A should be positive. Multiply the entire equation by −1to make x positive:

x−2y=8 <--- FINAL ANSWER