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Question
y=-\frac{1}{2}x-1
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=-\frac{1}{2}
Evaluate
y=-\frac{1}{2}x-1
Solution
m=-\frac{1}{2}
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=-\frac{1}{2}x-1
\text{To test if the graph of }y=-\frac{1}{2}x-1\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-y=-\frac{1}{2}\left(-x\right)-1
Multiplying or dividing an even number of negative terms equals a positive
-y=\frac{1}{2}x-1
Change the signs both sides
y=-\frac{1}{2}x+1
Solution
\textrm{Not symmetry with respect to the origin}
Show Solutions
Solve the equation
x=-2y-2
Evaluate
y=-\frac{1}{2}x-1
Swap the sides of the equation
-\frac{1}{2}x-1=y
Move the constant to the right-hand side and change its sign
-\frac{1}{2}x=y+1
Change the signs on both sides of the equation
\frac{1}{2}x=-y-1
Multiply by the reciprocal
\frac{1}{2}x\times 2=\left(-y-1\right)\times 2
Multiply
x=\left(-y-1\right)\times 2
Solution
More Steps
Evaluate
\left(-y-1\right)\times 2
Apply the distributive property
-y\times 2-2
Use the commutative property to reorder the terms
-2y-2
x=-2y-2
Show Solutions
Rewrite the equation
r=-\frac{2}{2\sin\left(\theta \right)+\cos\left(\theta \right)}
Evaluate
y=-\frac{1}{2}x-1
Multiply both sides of the equation by LCD
y\times 2=\left(-\frac{1}{2}x-1\right)\times 2
Use the commutative property to reorder the terms
2y=\left(-\frac{1}{2}x-1\right)\times 2
Simplify the equation
More Steps
Evaluate
\left(-\frac{1}{2}x-1\right)\times 2
Apply the distributive property
-\frac{1}{2}x\times 2-2
Simplify
-x-2
2y=-x-2
Move the expression to the left side
2y+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
2\sin\left(\theta \right)\times r+\cos\left(\theta \right)\times r=-2
Factor the expression
\left(2\sin\left(\theta \right)+\cos\left(\theta \right)\right)r=-2
Solution
r=-\frac{2}{2\sin\left(\theta \right)+\cos\left(\theta \right)}
Show Solutions
Graph
