In which quadrant is the number 6 – 8i located on the complex plane?
2 answers:
Answer:
A complex number Z = A + Bi can be represented in the same way like we represent a point (a,b) in the coordinate plane.
Like in two dimensional coordinate system where there is X axis and Y Axis In complex plane , for locating real part of complex number we use X axis and for locating imaginary part we use Y axis.
So Complex number Z= 6 - 8 i = Point in the complex plane (6,-8)
6 = Real Part = Positive real number
-8 = Imaginary Part = Negative real number
Point (6,-8) will lie in Fourth Quadrant.
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Answer:
C. –x + 8y = 56
Step-by-step explanation:
Write in standard form.
x − 8 y = − 56
This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56 / * ( - 1 )
x - 8 y = - 56
The equation is y = 1/8x + 7
Standard form equation is Ax + By = C, where A > = 0.
First eliminate the fractions by multiplying the equation by 8
8y = x + 56
Subtract x from each side
-x + 8y = 56
SInce x coeficient can't be negative multiply the equation by negative one.
x - 8y = -56
