Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
