SOLUTION: What is the x-intercept of the line with the equation 4x+2y=12? This is a multiple choice A. (6,0) B.(0,3) C.(0,6) D.(3,0)

Algebra ->  College  -> Linear Algebra -> SOLUTION: What is the x-intercept of the line with the equation 4x+2y=12? This is a multiple choice A. (6,0) B.(0,3) C.(0,6) D.(3,0)      Log On


   

Question 5671: What is the x-intercept of the line with the equation 4x+2y=12?
This is a multiple choice A. (6,0) B.(0,3) C.(0,6) D.(3,0)
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 4+x+%2B+2+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/4 = 3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/2 = 6.
  • Slope is -4/2 = -2.
  • Equation in slope-intercept form: y=-2*x+6.
graph%28+500%2C+500%2C+3-8%2C+3%2B8%2C+6-8%2C+6%2B8%2C+-2%2Ax%2B6+%29+