Write the linear equation 3y=6x−18 in slope-intercept form

To write the linear equation 3y = 6x - 18 in slope-intercept form, we need to isolate the y-term and rewrite the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Start by dividing both sides of the equation by 3:
3y/3 = (6x - 18)/3

This simplifies to:
y = 2x - 6

So, the linear equation 3y = 6x - 18 in slope-intercept form is y = 2x - 6.

To write the equation 3y = 6x - 18 in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.

Given equation: 3y = 6x - 18

First, divide both sides of the equation by 3 to isolate y:

3y/3 = (6x - 18)/3

Simplifying,

y = 2x - 6

So, the linear equation 3y = 6x - 18 in slope-intercept form is y = 2x - 6.