Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this = [tex]-\frac{1}{6}[/tex]
The new line will be;
Let find the intercept;
-1 = [tex]-\frac{1}{6}[/tex] x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = [tex]-\frac{1}{6}[/tex] x - 2
