SOLUTION: Translate to an equation: p $40 pants and s $20 shirts total $160 Graph the equation and use the graph to determine three different combinations of pants and shirts that tota

Algebra ->  Equations -> SOLUTION: Translate to an equation: p $40 pants and s $20 shirts total $160 Graph the equation and use the graph to determine three different combinations of pants and shirts that tota      Log On


   

Question 446389: Translate to an equation:
p $40 pants and s $20 shirts total $160
Graph the equation and use the graph to determine three different combinations of pants and shirts that total $160.
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 40+x+%2B+20+y+=+160 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-40%2F20.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 160/40 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 160/20 = 8.
  • Slope is -40/20 = -2.
  • Equation in slope-intercept form: y=-2*x+8.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+8-8%2C+8%2B8%2C+-2%2Ax%2B8+%29+

Points (4,0)(3,2)(2,4)..