The pair of equations 2x - y +9 = 0 ; 6x -3y + 12 = 0 will graphically represent 2 lines which are
1.)intersecting at one point
2.)coincident
3.)parallel
4.)either parallel or coincident
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Answer:
3). Parallel.
Step-by-step explanation:
1). ║ have the same slope but different y-intersect
2). Coincident lines are with same slope and same y-intercept.
3). Lines with intersect at a point have different slopes.
Let's write given equations in slope-intercept form:
y = mx +b , "m" is slope, "b" y-intercept
- y = - 2x - 9 ==> y = 2x + 9 , m = 2, b = 9
- 3y = - 6x - 12 ==> y = 2x + 4 , m = 2, b = 4
So lines are parallel.
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Answer:
parallel lines but have no solution
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