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## 2. Two lines are represented by equations: 2x + 4y = 21 and y = kx – 12. What value of k will make lines parallel?

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2. Two lines are represented by equations: 2x + 4y = 21 and y = kx – 12. What value of k will

make lines parallel?

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Mathematics
6 months
2021-07-19T00:26:01+00:00
2021-07-19T00:26:01+00:00 1 Answers
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## Answers ( )

Answer:-1/2

Step-by-step explanation:– arrange the equation in the y=mx+b form

2x + 4y =21, subtract 2x from both sides of the equation

4y= -2x +21 , divide both sides by 4

y= -1/2x +21/4

-compare the slopes m of the 2 equations

y= kx -12, has the slope k

y= -1/2x +21/4, has the slope -1/2

– If the lines are parallel then they have the same slope

Therefore, k= -1/2