SOLUTION: Find the slope-intercept form of this line: * 3x+2y=16

Algebra ->  Linear-equations -> SOLUTION: Find the slope-intercept form of this line: * 3x+2y=16       Log On


   



Question 746643: Find the slope-intercept form of this line: * 3x+2y=16
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+2+y+=+16 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 16/3 = 5.33333333333333.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 16/2 = 8.
  • Slope is -3/2 = -1.5.
  • Equation in slope-intercept form: y=-1.5*x+8.