Question

The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes

the two lines?
2x + y = 12
y-2 = 3(x - 2)
1) parallel
2) perpendicular
3) the same line
4) neither parallel nor perpendicular

Answer 1

4

Explanation:

2x+y=12

y=-2x+12

y-2=3(x-2)

If it’s parallel to each other: the slope has to be the same.

If is perpendicular to each other: the slope should be the reciprocal to each other.

The first equation has a slope of -2

The second has a slope of 3

Neither the condition meet. So the answer is 4