Change 3y-x=0 into slope intercept form
To convert the equation 3y - x = 0 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.
Let's rearrange the equation step by step:
Step 1: Move the x term to the right side of the equation by adding x to both sides.
3y - x + x = 0 + x
3y = x
Step 2: Divide both sides of the equation by 3 to solve for y.
3y/3 = x/3
y = x/3
Now, the equation 3y - x = 0 is written in slope-intercept form as y = x/3.
Therefore, the slope (m) is 1/3, and there is no y-intercept (b) since the line passes through the origin (0,0).