x+2y-6=0 in standard form

Answer 1

The standard form of an equation is Ax + By = C.

so, x+2y-6=0 would be x = 2y = 6 (just add 6 to both sides).

Assuming you want to find the x and y intercepts in standard form:

Check to make sure it is a linear equation. --> x+2y-6=0

1. check the exponent on the x. --> it is 1
2. check the exponent on the y. --> it is 1
3. Since they are both 1, it is a linear equation.

Next we want to find the x-intercept. To do this we set the y value to zero. -->

x + 2(0) - 6 = 0

x + 0 - 6 = 0

x - 6 = 0

x - 6 +6 = 0 + 6 (add 6 to both sides)

x = 6

The x-intercept is the point (6, 0)

On a graph, plot this point on the x axis.

Next we want to find the y-intercept. To do this we will set the x value to zero. -->

0 + 2y - 6 = 0

2y - 6 = 0

2y - 6 + 6 = 0 + 6 (add 6 to both sides)

2y = 6

2y/2 = 6/2 (divide both sides by 2)

y = 3

The y-intercept is the point (0, 3)

On the same graph, plot this point on the y-axis

Connect the two points with a line. This is the line for the equation x+2y-6=0

Answer 2

Hi, Kevin!

Standard form for a linear equation is ax+by=c. In this form, "a" must be positive and no fractions or decimals are allowed. If you start with the equation x+2y-6=0, simply add 6 to the right to achieve standard form: x+2y=6.

Hope that helps!

Katie

Answer 3

Hello Kevin,

Your equation x+2y-6=0 is already in standard form because the formula is Ax+By-C=0. Neither A nor B equal 0 and A is greater than 0. Hope this helps!