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6x - 12y = -243y = 2x + 18These lines : choose one - parallel -concide -intersect and are perpendicular -intersect

6x - 12y = -243y = 2x + 18These lines : choose one - parallel -concide -intersect-example-1
User Narann
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1 Answer

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The given equations are

6x - 12y = -24

3y = 2x + 18

We would solve for y in both equations

For 6x - 12y = -24,

12y = 6x + 24

Dividing both sides by 12, it becomes

12y/12 = 6x/12 + 24/12

y = x/2 + 2

For 3y = 2x + 18,

Dividing both sides by 3, it becomes

3y/3 = 2x/3 + 18/3

y = 2x/3 + 6

The equation of a line in the slope intercept form is

y = mx + c

where m is the slope

By comparing both equations, the slopes are different. They are not negative reciprocals of each other. Thus, they are not perpendicular or parallel. Thus, the lines intersect

User SoTm
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