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Question
y=3x-12
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=3
Evaluate
y=3x-12
Solution
m=3
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=3x-12
\text{To test if the graph of }y=3x-12\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-y=3\left(-x\right)-12
Simplify
-y=-3x-12
Change the signs both sides
y=3x+12
Solution
\textrm{Not symmetry with respect to the origin}
Show Solutions
Solve the equation
x=\frac{y+12}{3}
Evaluate
y=3x-12
Swap the sides of the equation
3x-12=y
Move the constant to the right-hand side and change its sign
3x=y+12
Divide both sides
\frac{3x}{3}=\frac{y+12}{3}
Solution
x=\frac{y+12}{3}
Show Solutions
Rewrite the equation
r=-\frac{12}{\sin\left(\theta \right)-3\cos\left(\theta \right)}
Evaluate
y=3x-12
Move the expression to the left side
y-3x=-12
\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-3\cos\left(\theta \right)\times r=-12
Factor the expression
\left(\sin\left(\theta \right)-3\cos\left(\theta \right)\right)r=-12
Solution
r=-\frac{12}{\sin\left(\theta \right)-3\cos\left(\theta \right)}
Show Solutions
Graph
