Question

use the intercept to graph the equation x+3y=6

Answer 1

There are two types of intercepts:
x-intercepts ( when y=0 )
and y-intercepts ( when x=0 )

To use intercepts for the equation x + 3y = 6:
X-intercepts:
Since you know that y will be 0 with x intercepts, PLUG IN 0 FOR Y:
x + 3y = 6
x + 3(0) = 6
x = 6
Therefore, the x intercept is 6.

The same process is used for finding y intercepts, except that this time x is always 0 ( not y ).

Once you find both the x and y intercepts, plot the two points and draw the line. :D