# How do you graph the equation 3x+7y=42?

$7 y = - 2 x + 42$ isolate y-term to put into slope-intercept form $y = m x + b$
$y = - \frac{2}{7} x + 6$ divide by 7 to isolate y
Plot first point: (0,6). This is given by the equation, where $b = 6$. This is your y-intercept, or where x equals 0 and the line crosses the y-axis.
Next, you want to use the slope to get your next point. Remember: the slope is rise over run. In other words, because your slope is $- \frac{2}{7}$, you want to RISE -2 (because this is a negative number, you will go down 2), and RUN 7 (because this is a positive number, you will go 7 to the right). Plot this point and connect the two points to give you your line.