SOLUTION: which type of line matches these equations x+y=10 and x-y=6

Algebra.Com
Question 885447: which type of line matches these equations x+y=10 and x-y=6
Answer by DrBeeee(684)   (Show Source): You can put this solution on YOUR website!
Im not sure what is is meant by type of line, but here goes.
Rewrite the two lines in slope/intercept form
(1) y = mx + b
You get two lines
(2) y = -x + 10 and
(3) y = x - 6
Note that the slope of (2), the coefficient of x, is -1 and the slope of (3) is +1. This gives us
(4) m1*m2 = -1 which proves that the two lines are perpendicular to each other.
If you solve (2) and (3) simultaneously you find that the lines cross at (8,2)

RELATED QUESTIONS

Can someone please help me understand graph's before my final next week. I have 2... (answered by rapaljer,Nate)
The probability that X team wins against Y team is 2/3. If they play three matches, what... (answered by ikleyn)
Find the values of x,y and z which make all these equations true: Y+z=78 , z+x= 70 and... (answered by Theo)
a horizontal line through the point 4 6 is defined by which one of the following... (answered by Alan3354)
0 0 Which of the following are point-slope equations of the line going through (9,3) and (answered by Fombitz)
1. solve these equations y=10-x... (answered by jim_thompson5910)
the tables of ordered pairs represent some points on the graphs of two different lines. (answered by MathLover1,josgarithmetic,greenestamps)
I need help solving these system of equations: x^2+y^2=9 y=x+3 AND x^2-y^2=9... (answered by Alan3354)
which of these equations is y a function of x? y=3xcubed, xy=1, ysquared=x, (answered by user_dude2008)