To write the equation of a line given the slope and y-intercept, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, m represents the slope and b represents the y-intercept.
Given:
Slope = 1/6
Y-intercept = (0,0)
We can substitute the given values into the slope-intercept form of the equation:
y = (1/6)x + 0
Since the y-intercept is 0, the equation simplifies to:
y = (1/6)x
Therefore, the equation of the line is y = (1/6)x.