SOLUTION: Find the x- and y-intercepts for the line given by the equation 3x + 4y = 12 and use them to graph the line. Use the plotting applet in Bogomolny (2012a)?

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y-intercepts for the line given by the equation 3x + 4y = 12 and use them to graph the line. Use the plotting applet in Bogomolny (2012a)?      Log On


   

Question 755580: Find the x- and y-intercepts for the line given by the equation 3x + 4y = 12 and use them to graph the line. Use the plotting applet in Bogomolny (2012a)?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+4+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/3 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/4 = 3.
  • Slope is -3/4 = -0.75.
  • Equation in slope-intercept form: y=-0.75*x+3.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+3-8%2C+3%2B8%2C+-0.75%2Ax%2B3+%29+