<span title="Determine..parallel?perpendicular">Determine..parallel?perpe...</span> or neither x+y=2,y=x+5?

Question

Determine..parallel?perpe... or neither x+y=2,y=x+5?

Answer 1

x+y = 2 &lt;=&gt; y = -x + 2

m[a] = -1

y = x+5

m[b] = 1

m[a] * m[b] = -1

Perpendicular

Answer 2

If both formulae are expressed as y

y = 5+x

y = 2-x

in the first formula, the line will be a positive angle, with a 1/1 gradient

in the second, negative...but also a 1/1 gradient.

So they will be perpendicular.

Answer 3

First you write in reduced form;

y = -x+2   and y = x+5

The angular coefficients  are:  -1  an 1

If it is the same, the lines are parallels

If the product is -1 , the lines are perpendicular... and that is your case.

Answer 4

1) x + y = 2 -&gt; y = -x + 2

2) y = x + 5

y = m*x + b

m(1) = -1 ; m(2) = 1

-&gt; m(1) = -1 * m(2)

=&gt; 1) and 2) are perpendicular