Question

Maia says that the lines in this system of linear eqations are parallel. is she correct? explain.

2x+y=14
2y+4x=14

Answer 1

Yes they are parallel

Answer 2

yes, they are parallel because their slopes are the same

Explanation:

if you put each equation into slope-intercept form and compare slopes you can see whether they are parallel or not

2x + y = 14

y = -2x + 14

slope = -2

2y + 4x = 14

2y = -4x + 14

slope = -4/2, which simplifies to be -2