Answer:
y = - x + 17
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 = x - 9 ← is in slope intercept form
with slope m = 1
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}{1}[/tex] = - 1 , thus
y = - x + c ← is the partial equation
To find c substitute (7, 10) into the partial equation
10 = - 7 + c ⇒ c = 10 + 7 = 17
y = - x + 17 ← equation of perpendicular line
