Question 347825
it says to graph equation. 3x+7y=14
Put in slope/intercept form, subtract 3x from both sides, results
7y = -3x + 14
Divide both sides by 7
y = {{{-3/7}}}x + {{{14/7}}}
y = {{{-3/7}}}x + 2; the slope/intercept form
:
you can see that when x = 0, y = 2
y = {{{-3/7}}}0 + 2
y = 0 + 2
:
When y = 0, find x, write it:
{{{-3/7}}}x + 2 = 0
{{{-3/7}}}x = -2
multiply both sides by 7, results
-3x = 7(-2)
-3x = -14
Multiply both sides by -1
3x = 14
divide both sides by 3
x = {{{14/3}}} ~ 4.67
:
So you have
 x | y
-------
 0 | 2
4.67| 0; 
Graph these two points
{{{ graph( 300, 200, -4, 8, -8, 8, (-3/7)x+2) }}}