Answer:
See answers below
Step-by-step explanation:
Equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given the line y = x
The slope of the line is 1.
The slope of the line perpendicular is M = -1
Given the point (2,2)
x0 = 2 and y 0 = 2
Substitute
Recall y-y0 = m(x-x0)
y - 2 = -1(x-2) (Point slope form)
Express in slope intercept form;
y - 2 = -1(x-2)
Make y the subject of the formula;
y -2 = -x + 2
y = -x + 2 + 2
y = -x + 4 (slope intercept form)
The general form of linear equation is expressed as the slope intercept form which is y = -x+4
let y = f(x)
f(x) = -x+4
f(x) = 4-x (Linear equation)
