Answer:
the equation is - [tex]y=x[/tex]
Explanation:
Given -
[tex]y=x+4[/tex]
We have to find a line passing through the point [tex](2,2)[/tex] nd parallel to the given line.
Find the slope of the given line.
It is the coefficeint of [tex]x[/tex]
m₁ = 1
The two lines are parallel. Hence
m₂=m₁=1 Where m₂is the slope of the second line.
You have slope and the points [tex](2,2)[/tex]
Find the Y intercept
[tex]y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0[/tex]
Y-Intercept [tex]C=0[/tex] and slope m₂=1
Fix the equation
[tex]y=x[/tex]
