Respuesta :
Answer:
y = - 2x + 9
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{1}{2} [/tex] x - 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2} [/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{1}{2} } [/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (5, - 1 ) into the partial equation
- 1 = - 10 + c ⇒ c = - 1 + 10 = 9
y = - 2x + 9 ← equation of perpendicular line
