Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
x+y=7
Function
-
\text{Find the }x\text{-intercept/zero}
-
Find the y-intercept
-
Find the slope
x=7
Evaluate
x+y=7
\text{To find the }x\text{-intercept,set }y\text{=0}
x+0=7
Solution
x=7
Show Solutions
Solve the equation
-
\text{Solve for }x
-
\text{Solve for }y
x=7-y
Evaluate
x+y=7
Solution
x=7-y
Show Solutions
Testing for symmetry
-
Testing for symmetry about the origin
-
Testing for symmetry about the x-axis
-
Testing for symmetry about the y-axis
\textrm{Not symmetry with respect to the origin}
Evaluate
x+y=7
\text{To test if the graph of }x+y=7\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-x-y=7
Solution
\textrm{Not symmetry with respect to the origin}
Show Solutions
Rewrite the equation
-
Rewrite in polar form
-
Rewrite in slope-intercept form
r=\frac{7}{\cos\left(\theta \right)+\sin\left(\theta \right)}
Evaluate
x+y=7
\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
\cos\left(\theta \right)\times r+\sin\left(\theta \right)\times r=7
Factor the expression
\left(\cos\left(\theta \right)+\sin\left(\theta \right)\right)r=7
Solution
r=\frac{7}{\cos\left(\theta \right)+\sin\left(\theta \right)}
Show Solutions
Find the first derivative
-
\text{Find the derivative with respect to }x
-
\text{Find the derivative with respect to }y
\frac{dy}{dx}=-1
Calculate
x+y=7
Take the derivative of both sides
\frac{d}{dx}\left(x+y\right)=\frac{d}{dx}\left(7\right)
Calculate the derivative
More Steps
Evaluate
\frac{d}{dx}\left(x+y\right)
Use differentiation rules
\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(y\right)
\text{Use }\frac{d}{dx} x^{n}=n x^{n-1}\text{ to find derivative}
1+\frac{d}{dx}\left(y\right)
Evaluate the derivative
More Steps
Evaluate
\frac{d}{dx}\left(y\right)
Use differentiation rules
\frac{d}{dy}\left(y\right)\times \frac{dy}{dx}
\text{Use }\frac{d}{dx} x^{n}=n x^{n-1}\text{ to find derivative}
\frac{dy}{dx}
1+\frac{dy}{dx}
1+\frac{dy}{dx}=\frac{d}{dx}\left(7\right)
Calculate the derivative
1+\frac{dy}{dx}=0
Move the constant to the right-hand side and change its sign
\frac{dy}{dx}=0-1
Solution
\frac{dy}{dx}=-1
Show Solutions
Find the second derivative
-
\text{Find the second derivative with respect to }x
-
\text{Find the second derivative with respect to }y
\frac{d^2y}{dx^2}=0
Calculate
x+y=7
Take the derivative of both sides
\frac{d}{dx}\left(x+y\right)=\frac{d}{dx}\left(7\right)
Calculate the derivative
More Steps
Evaluate
\frac{d}{dx}\left(x+y\right)
Use differentiation rules
\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(y\right)
\text{Use }\frac{d}{dx} x^{n}=n x^{n-1}\text{ to find derivative}
1+\frac{d}{dx}\left(y\right)
Evaluate the derivative
More Steps
Evaluate
\frac{d}{dx}\left(y\right)
Use differentiation rules
\frac{d}{dy}\left(y\right)\times \frac{dy}{dx}
\text{Use }\frac{d}{dx} x^{n}=n x^{n-1}\text{ to find derivative}
\frac{dy}{dx}
1+\frac{dy}{dx}
1+\frac{dy}{dx}=\frac{d}{dx}\left(7\right)
Calculate the derivative
1+\frac{dy}{dx}=0
Move the constant to the right-hand side and change its sign
\frac{dy}{dx}=0-1
Removing 0 doesn't change the value,so remove it from the expression
\frac{dy}{dx}=-1
Take the derivative of both sides
\frac{d}{dx}\left(\frac{dy}{dx}\right)=\frac{d}{dx}\left(-1\right)
Calculate the derivative
\frac{d^2y}{dx^2}=\frac{d}{dx}\left(-1\right)
Solution
\frac{d^2y}{dx^2}=0
Show Solutions
Graph
