SOLUTION: Find the slope,x intercept and y- intercept for the equation then graph equation. -3x-6y=6

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Question 150273This question is from textbook intermediate algebra
: Find the slope,x intercept and y- intercept for the equation then graph equation. -3x-6y=6 This question is from textbook intermediate algebra

Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!
-3x-6y=6

isolate y (get it into y=mx+b form)
-6y=6+3x
y=-1-1/2x
y=-1/2x-1

m=slope
-1/2=m

~~slope=-1/2~~
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y-intercept, where x=0

y=-1/2(0)-1
y=-1

~~y-intercept=-1~~
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x-intercept, where y=0

0=-1/2x-1
1=-1/2x
-2=x

~~x-intercept=-2~~
-------------------------------------------------------------------
graph:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/-3 = -2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-6 = -1.
  • Slope is --3/-6 = -0.5.
  • Equation in slope-intercept form: y=-0.5*x+-1.
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