SOLUTION: I can't figure out how to graph this one at all. Please help and thank you so very much! Problem: 3x-2y=6 question; (a) give a table with three ordered pairs that are solutions

Algebra ->  Graphs -> SOLUTION: I can't figure out how to graph this one at all. Please help and thank you so very much! Problem: 3x-2y=6 question; (a) give a table with three ordered pairs that are solutions      Log On


   



Question 34495This question is from textbook College algebra
: I can't figure out how to graph this one at all. Please help and thank you so very much! Problem: 3x-2y=6
question; (a) give a table with three ordered pairs that are solutions, and (b) graph it.
I am having a problem graphing this one as well as not being able to find 3 ordered pairs that are solutions. Thanks agian.
This question is from textbook College algebra

Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
a)We can just try inputing some numbers, (4,3) this works because 3%284%29-2%283%29=12-6=6. (6,6) this works because 3%286%29-2%286%29=18-12=6. Finally, (8,9) this works because 3%288%29-2%289%29=24-18=6.
b) Now for graphing:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+-2+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/3 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-2 = -3.
  • Slope is -3/-2 = 1.5.
  • Equation in slope-intercept form: y=1.5*x+-3.
graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+-3-8%2C+-3%2B8%2C+1.5%2Ax%2B-3+%29+


Hope this helps,
lyra