Find the equation of the line (in any form) that is parallel to x+y=5 and passes through the point (3,7)

Question

Algebra 2 

Answer ASAP

Parallel

Equation of the line

Answer 1

we want to find the equation of a line parallel to line x+y=5.As parallel lines have same slope ,we will find the slope of given line.

 

x+y=5

y= -x+5,comparing this with standard form y=mx+c, slope (m)=-1

 

So equatuon of other line will be : y= -1*x+c  =>y=-x+c

as this new line passes through point (3,7) ,putting x=3 and y=7 in this we will get y-intercept c

 

7 = -3+c

7+3=c

c=10

 

So,equation of parallel line passing through point (3,7) will be :

y = -x+10