SOLUTION: Graph the line y=-1/2x+2

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Question 246024: Graph the line
y=-1/2x+2

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
y=-1/2x+2
.
this is in "slope-intercept" form:
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
.
In your case, the
slope is -1/2
and the
y-intercept is at (0, 2)
.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 0.5+x+%2B+1+y+=+2 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-0.5%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 2/0.5 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.
  • Slope is -0.5/1 = -0.5.
  • Equation in slope-intercept form: y=-0.5*x+2.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+2-8%2C+2%2B8%2C+-0.5%2Ax%2B2+%29+