1 A line has this equation: y = 10 X+9 Write an equation for the perpendicular line that goes through (-8,9).

The answer to your question is P(-5, 2)

Step-by-step explanation:

Data

M (-5, -2)

N (-5, 8)

ratio 4/6

Process

1.- Find X

X = (x₁ + rx₂) / (1 + r)

- Substitution

X = (-5 + (4/6)(-5)) / (1 + 4/6)

X = (-5 - 20/6) / (6 + 4)/6

X = (-30 - 20)/6 / (6 + 4) / 6

X = -50/10

X = -5

2.- Find Y

Y = (-2 + (4/6)(8)) / (1 + 4/6)

Y = (-2 + 32/6) / (6 + 4) / 6

Y = (-12 + 32)/6 / 10/6

Y = 20/6 / 10/6

Y = 20/10

Y = 2

3.- Coordinates of point P

(-5, 2)