Aline passes through (8,-1) and is perpendicular to y=2x-9. what is the equation of the line in point-slope form?

Y = 2x - 9slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will have a slope of -1/2.

y - y1 = m(x - x1)
slope)m) = -1/2
(8,-1)x1 = 8 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = -1/2(x - 8)...not done yet
y + 1 = -1/2(x - 8) <== ur perpendicular line