SOLUTION: A linear equation is 2x - 3y = 12. Find any two points on the line and list them. Use a grid and create an xy coordinate system with axes x and y. Locate the two points that

Algebra ->  Coordinate-system -> SOLUTION: A linear equation is 2x - 3y = 12. Find any two points on the line and list them. Use a grid and create an xy coordinate system with axes x and y. Locate the two points that       Log On


   

Question 471366: A linear equation is 2x - 3y = 12. Find any two points on the line and list them.
Use a grid and create an xy coordinate system with axes x and y.
Locate the two points that you have found on your coordinate system.
Connect the two points to determine the graph of the line.
You are then to list your two points in this thread and also indicate which quadrants the graph will pass through.
Check with others and discuss any discrepancies. Check other's points to make sure their points do "fit" the equation.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+-3+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F-3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/2 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-3 = -4.
  • Slope is -2/-3 = 0.666666666666667.
  • Equation in slope-intercept form: y=0.666666666666667*x+-4.
graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+-4-8%2C+-4%2B8%2C+0.666666666666667%2Ax%2B-4+%29+