Graph the equation 2 x ² + 5 y ² = 0.

Question

Quizplus · Accepted Answer

The equation can be simplified by factoring out a common term of 2^{:
2^{(1 + 5y}) = 0
This has two solutions:
- 2^{= 0 (which is equivalent to ^{= 0, since we can divide both sides by 2)
- 1 + 5y} = 0, which can be rearranged as:
y = -1 / (5})
This is the equation of a horizontal line with slope 0 and y-intercept -1 / (5}). The graph of the full equation consists of the two lines y = 0 (which corresponds to ^{= 0) and y = -1 / (5}), as shown in choice C.

Graph the Equation 2 X 2 + 5 Y

Graph the Equation 2 X ² + 5 Y