Question

Which of the following is the correct classification of the system of equations below?

-x+2y=10
6y=-12x+1
Parallel
Coincident
Intersecting

Answer 1

put them both on point slope form

2y = x + 10 or y = 1/2x + 5 slope m = 1/2

6y = -12x + 1 or y = -2x + 1/6 slope m = -2

the product of the gradients is 1/2 x -2 -1 so the lines are perpendicular

Answer 2

so Which one is it ?

Answer 3

so Which one is it ?

Answer 4

they intersect at right angles.... that is the definition of perpendicular lines

Answer 5

oh ok thanks