Mery50311 Mery50311

15-03-2024
Mathematics

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Find the equation for the line that passes through the point (1,3) and is perpendicular to the line with the equation 4x-2y=16?

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nikvist nikvist

15-03-2024

Answer:

Step-by-step explanation:

[tex]4x-2y=16,\quad 2y=4x-16,\quad y=2x-8,\quad k_1=2\\k_1k_2=-1,\quad k_2=-1/k_1=-1/2\\y-y_p=k_2(x-x_p),\quad (x_p,y_p)=(1,3)\\y-3=-1/2(x-1),\quad y=-x/2+7/2[/tex]

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