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Question
y=15x+9
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=15
Evaluate
y=15x+9
Solution
m=15
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=15x+9
\text{To test if the graph of }y=15x+9\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-y=15\left(-x\right)+9
Simplify
-y=-15x+9
Change the signs both sides
y=15x-9
Solution
\textrm{Not symmetry with respect to the origin}
Show Solutions
Solve the equation
x=\frac{y-9}{15}
Evaluate
y=15x+9
Swap the sides of the equation
15x+9=y
Move the constant to the right-hand side and change its sign
15x=y-9
Divide both sides
\frac{15x}{15}=\frac{y-9}{15}
Solution
x=\frac{y-9}{15}
Show Solutions
Rewrite the equation
r=\frac{9}{\sin\left(\theta \right)-15\cos\left(\theta \right)}
Evaluate
y=15x+9
Move the expression to the left side
y-15x=9
\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-15\cos\left(\theta \right)\times r=9
Factor the expression
\left(\sin\left(\theta \right)-15\cos\left(\theta \right)\right)r=9
Solution
r=\frac{9}{\sin\left(\theta \right)-15\cos\left(\theta \right)}
Show Solutions
Graph