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Question
y=-x+2
Function
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Find the slope
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Find the inverse
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Evaluate the derivative
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Find the domain
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\text{Find the }x\text{-intercept/zero}
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Find the y-intercept
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Find the range
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Find the vertical asymptotes
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Find the horizontal asymptotes
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Determine if even, odd or neither
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Find the stationary points
More methods
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m=-1
Evaluate
y=-x+2
Solution
m=-1
Show Solutions
Testing for symmetry
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Testing for symmetry about the origin
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Testing for symmetry about the x-axis
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Testing for symmetry about the y-axis
\textrm{Not symmetry with respect to the origin}
Evaluate
y=-x+2
\text{To test if the graph of }y=-x+2\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-y=-\left(-x\right)+2
Simplify
-y=x+2
Change the signs both sides
y=-x-2
Solution
\textrm{Not symmetry with respect to the origin}
Show Solutions
Solve the equation
x=-y+2
Evaluate
y=-x+2
Swap the sides of the equation
-x+2=y
Move the constant to the right-hand side and change its sign
-x=y-2
Solution
x=-y+2
Show Solutions
Rewrite the equation
r=\frac{2}{\sin\left(\theta \right)+\cos\left(\theta \right)}
Evaluate
y=-x+2
Move the expression to the left side
y+x=2
\text{To convert the equation to polar coordinates,substitute }r\cos\left(\theta \right)\text{ for }x\text{ and }r\sin\left(\theta \right)\text{ for }y
\sin\left(\theta \right)\times r+\cos\left(\theta \right)\times r=2
Factor the expression
\left(\sin\left(\theta \right)+\cos\left(\theta \right)\right)r=2
Solution
r=\frac{2}{\sin\left(\theta \right)+\cos\left(\theta \right)}
Show Solutions
Graph
