Question
Function
Find the x-intercept/zero
Find the y-intercept
Find the slope
x=32
Evaluate
3x−2−4y=0
To find the x-intercept,set y=0
3x−2−4×0=0
Any expression multiplied by 0 equals 0
3x−2−0=0
Removing 0 doesn't change the value,so remove it from the expression
3x−2=0
Move the constant to the right-hand side and change its sign
3x=0+2
Removing 0 doesn't change the value,so remove it from the expression
3x=2
Divide both sides
33x=32
Solution
x=32
Show Solution

Solve the equation
Solve for x
Solve for y
x=32+4y
Evaluate
3x−2−4y=0
Move the expression to the right-hand side and change its sign
3x=0+2+4y
Removing 0 doesn't change the value,so remove it from the expression
3x=2+4y
Divide both sides
33x=32+4y
Solution
x=32+4y
Show Solution

Testing for symmetry
Testing for symmetry about the origin
Testing for symmetry about the x-axis
Testing for symmetry about the y-axis
Not symmetry with respect to the origin
Evaluate
3x−2−4y=0
To test if the graph of 3x−2−4y=0 is symmetry with respect to the origin,substitute -x for x and -y for y
3(−x)−2−4(−y)=0
Evaluate
More Steps

Evaluate
3(−x)−2−4(−y)
Multiply the numbers
−3x−2−4(−y)
Multiply the numbers
−3x−2+4y
−3x−2+4y=0
Solution
Not symmetry with respect to the origin
Show Solution

Rewrite the equation
Rewrite in polar form
Rewrite in standard form
Rewrite in slope-intercept form
r=3cos(θ)−4sin(θ)2
Evaluate
3x−2−4y=0
To convert the equation to polar coordinates,substitute x for rcos(θ) and y for rsin(θ)
3cos(θ)×r−2−4sin(θ)×r=0
Factor the expression
(3cos(θ)−4sin(θ))r−2=0
Subtract the terms
(3cos(θ)−4sin(θ))r−2−(−2)=0−(−2)
Evaluate
(3cos(θ)−4sin(θ))r=2
Solution
r=3cos(θ)−4sin(θ)2
Show Solution

Find the first derivative
Find the derivative with respect to x
Find the derivative with respect to y
dxdy=43
Calculate
3x−2−4y=0
Take the derivative of both sides
dxd(3x−2−4y)=dxd(0)
Calculate the derivative
More Steps

Evaluate
dxd(3x−2−4y)
Use differentiation rules
dxd(3x)+dxd(−2)+dxd(−4y)
Evaluate the derivative
More Steps

Evaluate
dxd(3x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
3×dxd(x)
Use dxdxn=nxn−1 to find derivative
3×1
Any expression multiplied by 1 remains the same
3
3+dxd(−2)+dxd(−4y)
Use dxd(c)=0 to find derivative
3+0+dxd(−4y)
Evaluate the derivative
More Steps

Evaluate
dxd(−4y)
Use differentiation rules
dyd(−4y)×dxdy
Evaluate the derivative
−4dxdy
3+0−4dxdy
Evaluate
3−4dxdy
3−4dxdy=dxd(0)
Calculate the derivative
3−4dxdy=0
Move the constant to the right-hand side and change its sign
−4dxdy=0−3
Removing 0 doesn't change the value,so remove it from the expression
−4dxdy=−3
Change the signs on both sides of the equation
4dxdy=3
Divide both sides
44dxdy=43
Solution
dxdy=43
Show Solution

Find the second derivative
Find the second derivative with respect to x
Find the second derivative with respect to y
dx2d2y=0
Calculate
3x−2−4y=0
Take the derivative of both sides
dxd(3x−2−4y)=dxd(0)
Calculate the derivative
More Steps

Evaluate
dxd(3x−2−4y)
Use differentiation rules
dxd(3x)+dxd(−2)+dxd(−4y)
Evaluate the derivative
More Steps

Evaluate
dxd(3x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
3×dxd(x)
Use dxdxn=nxn−1 to find derivative
3×1
Any expression multiplied by 1 remains the same
3
3+dxd(−2)+dxd(−4y)
Use dxd(c)=0 to find derivative
3+0+dxd(−4y)
Evaluate the derivative
More Steps

Evaluate
dxd(−4y)
Use differentiation rules
dyd(−4y)×dxdy
Evaluate the derivative
−4dxdy
3+0−4dxdy
Evaluate
3−4dxdy
3−4dxdy=dxd(0)
Calculate the derivative
3−4dxdy=0
Move the constant to the right-hand side and change its sign
−4dxdy=0−3
Removing 0 doesn't change the value,so remove it from the expression
−4dxdy=−3
Change the signs on both sides of the equation
4dxdy=3
Divide both sides
44dxdy=43
Divide the numbers
dxdy=43
Take the derivative of both sides
dxd(dxdy)=dxd(43)
Calculate the derivative
dx2d2y=dxd(43)
Solution
dx2d2y=0
Show Solution
