Answer:
y = - 5x - 3
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 )
Given
x - 5y = 4 ( subtract x from both sides )
- 5y = - x + 4 ( divide the terms by - 5 )
y = x -
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = 5 + c ⇒ c = 2 - 5 = - 3
y = - 5x - 3 ← equation of perpendicular line