Answer:
y=x
Step-by-step explanation:
slope intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Let's rewrite the given equation in the form of y=mx+c, so that we can determine the gradient of the line.
y-4= x-6
y= x -6 +4
y= x -2
Thus, the gradient of the given line is 1.
the product of the gradients of perpendicular lines is -1.
(gradient of line)(1)= -1
gradient of line= 1
Thus, m=1.
y= 1x +c
y= x +c
To find c, substitute a coordinate.
When x= -2, y= -2,
-2= -2 +c
c= -2 +2
c=0.
Thus the equation of the line is y=x.
