Question 196064
graph the following equation 2x + 3y = 6
:
Arrange equation in the slope intercept form:
3y = -2x + 6; subtracted 2x from both sides
y = -{{{2/3}}}x + {{{6/3}}}; divided both sides by 3
y = -{{{2/3}}}x + 2
:
Set up a table of values for x & y
Choose values for x and find y, for example
if x = -3; 
y = -(2/3)(-3) + 2
y = +2 + 2
y = 4
;
x | y
------
-3|+4
 0|+2; y intercept
+3|0
:
Since it is linear ( a straight line) two sets of coordinates are sufficient
Should look like this
{{{ graph( 300, 200, -6, 5, -10, 10, -(2/3)x+2) }}}