Question

What is Y equals negative 2X plus 6 in standard form

Answer 1

Answer:

2x + y - 6 = 0

OR 2x + y = 6

Step-by-step explanation:

First write the equation given in the problem:

y = -2x + 6        This is in slope-intercept form (y = mx + b).

Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.

The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.

To convert from slope-intercept form to standard form, move everything over to the side with 'y'. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)

y = -2x + 6         Do the reverse operations for -2x and +6

y + 2x - 6 = -2x + 2x + 6 - 6      Add 2x and subtract 6 on both sides

y + 2x - 6 = 0            Right side cancels out to be '0'.

2x + y - 6 = 0       Rewrite with the 'x' in front of the 'y'

Here you can see the new equation and what each variable in Ax + By + C = 0 is.

A = 2

B = 1              When a number is not written with the variable, it is 1.

C = -6

Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.

2x + y = 6