Respuesta :
Answer:
y = [tex]\frac{1}{10}[/tex] x + [tex]\frac{13}{2}[/tex]
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 = - 10x + 1 ← is in slope- intercept form
with slope m = - 10
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}{-10}[/tex] = [tex]\frac{1}{10}[/tex], thus
y = [tex]\frac{1}{10}[/tex] x + c ← is the partial equation
To find c substitute (5, 7) into the partial equation
7 = [tex]\frac{1}{2}[/tex] + c ⇒ c = 7 - [tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]
y = [tex]\frac{1}{10}[/tex] x + [tex]\frac{13}{2}[/tex] ← equation of line
