Find the intercepts and then use them to graph the equation.
3x + y = 6
To find the x-intercept, let y = 0 and solve for x:
3x + 0 = 6
3x = 6
x = 6/3
x = 2
The x-intercept is (2, 0).
To find the y-intercept, let x = 0 and solve for y:
3(0) + y = 6
y = 6
The y-intercept is (0, 6).
Now we can plot the intercepts on a graph and draw a line passing through them:
Graph of the equation 3x + y = 6:
{{{ graph( 300, 200, -5, 5, -5, 10, 6-3x) }}}