SOLUTION: graph the equation -2y = -x + 8

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Question 612388: graph the equation
-2y = -x + 8
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
graph the equation
-2y = -x + 8
multiplying both sides by -1:
2y = x - 8
dividing both sides by 2:
y = (1/2)x - 4
this is a line with a slope of 1/2 and the y-intercept at -4
.
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. 8/1 = 8.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/-2 = -4.
  • Slope is -1/-2 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+-4.
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