Respuesta :
Answer:
y = 3/2x - 14.
Step-by-step explanation:
The slope of the perpendicular line is - 1 / -2/3
= 3/2.
Using the point slope form y-y1 = m(x-x1):
y - (-8) = 3/2(x - 4)
y + 8 = 3/2x - 6
y = 3/2x - 14.
Answer:
y = [tex]\frac{3}{2}[/tex] x - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x ← is in this form
with slope m = - [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex], hence
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation of the perpendicular line
To find c substitute (4, - 8) into the partial equation
- 8 = 6 + c ⇒ c = - 8 - 6 = - 14, so
y = [tex]\frac{3}{2}[/tex] x - 14 ← equation of perpendicular line
