Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = [tex]\frac{1}{5}[/tex] x (-1) + c
c = 2 + [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{5}[/tex]
The equation of the new line is;
y = [tex]\frac{1}{5}[/tex]x + [tex]\frac{11}{5}[/tex]
or multiply through by 5;
5y = x + 11
