SOLUTION: when you have a number in front of x and y... how do you find the slope?? how do you find the x and y intercept in an easy way?? how do you graph an equation that is in standard fo

Algebra ->  Rational-functions -> SOLUTION: when you have a number in front of x and y... how do you find the slope?? how do you find the x and y intercept in an easy way?? how do you graph an equation that is in standard fo      Log On


   

Question 569246: when you have a number in front of x and y... how do you find the slope?? how do you find the x and y intercept in an easy way?? how do you graph an equation that is in standard form?? EXAMPLE: 3x+2y=6 how do you graph it??
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
easy way for intercepts

x equals zero at the y-intercept and y equals zero at the x-intercept

take the standard form equation and ignore the term that your not finding the intercept of (because the term equals zero)

3x + 2y = 6 ___

ignoring the y-term ___ 3x = 6 ___ x = 2 ___ the x-intercept is (0,2)

ignoring the x-term ___ 2y = 6 ___ y = 3 ___ the y-intercept is (3,0)

graph the equation by locating the two intercepts and drawing the line through the two points

the slope is also easy ___ -(y-intercept) / (x-intercept) ___ -3 / 2