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Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x . Leave your answer in the form y = m x + c

Sagot :

Answer:

[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

Since the line with equation y = 1 - 2x has slope -2, we need to find the equation of the line with slope 1/2.

[tex]3 = \frac{1}{2} (1) + b[/tex]

[tex]3 = \frac{1}{2} + b[/tex]

[tex]b = \frac{5}{2} [/tex]

[tex]y = \frac{1}{2}x + \frac{5}{2} [/tex]

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