Respuesta :
Answer:
y = [tex]\frac{7}{2}[/tex] x - 20
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}{7}[/tex] x + 9 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{7}[/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}{7} }[/tex] = [tex]\frac{7}{2}[/tex], thus
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation
To find c substitute (4, - 6) into the partial equation
- 6 = 14 + c ⇒ c = - 6 - 14 = - 20
y = [tex]\frac{7}{2}[/tex] x - 20 ← equation of perpendicular line
