find the equation of the line through point (2,2) and parallel to y=x+4

llm

Answered on Mon Apr 25 2022

given that :- (2,2)=(x,y)

equation of line parallel to other=> y=x+4, y=mx+c

m1=1

when two lines are parallel their slopes are equal m1=m2=1

put the values in the equation=> y=mx+c

2=1(2)+c

2=2+c

2-2=c

0=c

now the equation of line is:-

y=m2 x+c

y=1(x)+0

y=x (equation of line parallel to this line)