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2 votes
Which value of m will create a system of parallel lines with no solution?

y=mx-6

8x-4y=12

User Onida
by
4.7k points

1 Answer

3 votes

Answer:

m = 2

Explanation:

Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)

8x - 4y = 12

8x - 8x - 4y = -8x + 12

-4y = -8x + 12

-4y/-4 = (-8x + 12)/-4

y = 2x - 3

The slope for this equation is 2.

Equations with the same slope are parallel and therefore have no solution since they can never intersect. Hence, the required value of m is 2.

User Sandeep Sherpur
by
5.4k points
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