Answer:
slope = - [tex]\frac{1}{19}[/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 = 19x + 57 ← is in slope- intercept form
with slope m = 19
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}{19}[/tex] ← slope of line w
