Answer:
y = [tex]\frac{1}{5}[/tex] x - 8
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 = - 5x + 7 ← is in slope- intercept form
with slope m = - 5
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}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
The perpendicular line has y- intercept (0, - 8 ) ⇒ c = - 8
y = [tex]\frac{1}{5}[/tex] x - 8 ← equation of perpendicular line
