SOLUTION: what is the slope of the line whose equation is 4x+5y=10 I think that the answer is -4/5 Is that right? Thanks you so much for helping me! I really appreciate it.

Algebra ->  Systems-of-equations -> SOLUTION: what is the slope of the line whose equation is 4x+5y=10 I think that the answer is -4/5 Is that right? Thanks you so much for helping me! I really appreciate it.      Log On


   

Question 5645: what is the slope of the line whose equation is 4x+5y=10
I think that the answer is -4/5
Is that right?
Thanks you so much for helping me! I really appreciate it.
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+5+y+=+10 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F5.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 10/4 = 2.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 10/5 = 2.
  • Slope is -4/5 = -0.8.
  • Equation in slope-intercept form: y=-0.8*x+2.
graph%28+500%2C+500%2C+2.5-8%2C+2.5%2B8%2C+2-8%2C+2%2B8%2C+-0.8%2Ax%2B2+%29+