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Find the line parallel to y=4x+1 that includes the point (-2, -5)

Find the line parallel to y=4x+1 that includes the point (-2, -5)-example-1
User Cgokmen
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2 Answers

2 votes
Parallel slope is the negative reciprocal of the slope
Parallel slope would be -1/4x
Now use point slope form:
y - (-5) = -1/4 (x - 2)
Your question is only asking for point slope form so the above would be the answer
User Unhack
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7.5k points
5 votes

y=4x+3

Parallel lines have the same gradient - 4x

substitute the x and y values from the coordinates into y=mx+c

so

-5=(4×-2)+c

-5=-8+c

c=3

therefore, the answer is y=4x+3

User Neovibrant
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8.4k points