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.Com
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)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • 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.

RELATED QUESTIONS

Given the linear equation: 6x + 3y = 12: Make a table of values for 4 points on this... (answered by MathLover1)
Two points in a rectangular coordinate sys- tem have the coordinates (5.7 cm, 7.2 cm)... (answered by Alan3354)
A line on a coordinate grid passes through (-3,6) and (5,-6). What is the equation of the (answered by josgarithmetic,MathTherapy,ikleyn,Alan3354)
In the xy-coordinate system ,if (a,b) and (a+3,b+k) are the two points lie on the... (answered by Aldorozos,MathTherapy)
A line is described by the equation y=-2x+1. How would I graph this on a coordinate grid. (answered by rfer)
using a piece of graph paper, draw a coordinate grid with the two points fro, (-3,2) and... (answered by ewatrrr)
Please help with these difficult homework problems: 1. Find the intersection point of... (answered by robertb)
consider the linear equation 2x-3y=-3. if (-3,y1) is a point on the graph of the line,... (answered by josgarithmetic,MathTherapy)
What is the approximate distance between the points (1, -2) and (-9, 3) on a coordinate... (answered by Boreal)