![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The line is 3x + 4y = 12.
\To find the x-intercept, let y = 0 in the equation
\3x + 4(0) = 12 (Substitute y = 0)
\3x = 12 (Simplify)
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3a7bce4e553f23698158222dfde768c6.png\")
(Divide each side by 3)
x = 4 (Simplify)
\The x-intercept is 4 and the point is (4, 0) is on the graph of the equation.
\To find the y-intercept, let x = 0 in the equation
\3(0) + 4y = 12 (Substitute x = 0)
\4y = 12 (Simplify)
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=23e1e5b23c8a2d6be8f1468d7f3837c6.png\")
(Divide each side by 4)
y = 3 (Simplify)
\The y-intercept is 3 and the point is (0, 3) is on the graph of the equation.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
![\"graph](\"http://www.mathskey.com/userfiles/image/Library/Pre%20Calculus/graph_the_line_equation_3x+4y=12_using_intercepts.gif\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step3.JPG\")
The line is 3x + 4y = 12.
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=eaf5806448099480066960c33ed9e752.png\")
(Subtract 3x from each side)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=bb4f023954b0f626a8ea812bdf2a2a2b.png\")
(Simplify)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=025d6a274126b74744e783956ce9ca19.png\")
(Divide each side by 4)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f8f86085c7abb5bc3329796f47438bc7.png\")
(Simplify)
Compare the equation with y = mx + b, where m is slope and b is y-intercept
\Slope of the line (m) = ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e1c6e8c53ef854ff2541228336ac7935.png\")
.
If two lines are parallel their slopes are same ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7af40b4b9258897af155abc0c59fabf5.png\")
.
The parallel line slope is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4a0bb56d73379eaaa59beb22c426220c.png\")
.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Graph of line 3x + 4y = 12 is
\
The parallel line slope is