To write the equation \(3y = 6x - 18\) in slope-intercept form, we need to solve for \(y\), which is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Starting with the equation:
\[ 3y = 6x - 18 \]
We divide every term by 3 to isolate \(y\):
\[ y = \frac{6x}{3} - \frac{18}{3} \]
This simplifies to:
\[ y = 2x - 6 \]
Now the equation is in slope-intercept form. The slope \(m\) is 2, and the y-intercept \(b\) is -6.
The final slope-intercept form of the equation is:
\[ y = 2x - 6 \]
1 answer