Answer:
y= -x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product of the gradients of 2 perpendicular line is -1.
Given line: y= x -10
Gradient of given line= 1
m(1)= -1
m= -1
y= -x+c
To find c, substitute a coordinate.
when y= -5, x=10,
-5= -10 +c
c= 10-5 (+10 on both sides)
c=5 (simplify)
Thus, the equation is y= -x +5.
