Answer:
y = -5x -24
Step-by-step explanation:
Given parameters:
Coordinates of the line = (5, - 4)
Linear function ;
2x - 10y = 0
Solution:
The equation of the line perpendicular to this line will have a slope that is the a negative inverse of the given line;
2x - 10y = 0
Equation of a line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
We find the slope and y-intercept of the new line;
From: 2x - 10y = 0
Rewrite;
-10y = -2x
y = [tex]\frac{-2}{-10}[/tex]x
y = [tex]\frac{1}{5}[/tex]x
The slope of this line is [tex]\frac{1}{5}[/tex] , the line perpendicular will have slope of -5
For the new line;
y = mx + c
let us find c;
-4 = -5( -4) + c
-4 = 20 + c
c = -20 - 4
c = -24
The equation of the perpendicular line is;
y = -5x -24
