The graph of
[r = -5/(2 cos \theta + sin \theta)]
is a line. Find the y-intercept of this line.
To find the y-intercept of the line represented by the equation [r = -5/(2 cos \theta + sin \theta)], we need to determine the value of r when \theta is equal to zero.
Substitute \theta = 0 into the equation:
r = -5/(2 cos 0 + sin 0)
r = -5/(2 + 0) (cos 0 = 1, sin 0 = 0)
r = -5/2
Therefore, the y-intercept of the line is at the point (0, -5/2).