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Helpppppppppppppp

Write the equation of a line that is parallel to the line y = - 4x + 1 and goes through the point (2,0)

y=______x +_______​

User Vinaykrishnan
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1 Answer

27 votes
27 votes

Answer: y = -4x+8

In other words, -4 goes in the first blank and 8 goes in the second blank

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Step-by-step explanation:

Parallel lines have equal slopes, but different y intercepts.

The slope of y = -4x+1 is m = -4. So our answer will have this slope as well.

Use (x,y) = (2,0) along with that mentioned slope to get...

y = mx+b

0 = -4*2+b

0 = -8+b

0+8 = b

8 = b

b = 8 which is the y intercept

So we have m = -4 and b = 8 take us from y = mx+b to y = -4x+8

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As a check, plugging x = 2 should lead to y = 0

y = -4x+8

y = -4*2+8

y = -8+8

y = 0

The answer is confirmed.

Helpppppppppppppp Write the equation of a line that is parallel to the line y = - 4x-example-1
User DerHugo
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3.0k points