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

Respuesta :

Space

Answer:

y = -1/2x + 7/2

Step-by-step explanation:

Step 1: Find slope

Take the negative reciprocal of the given equation

m = -1/2

y = -1/2x + b

Step 2: Find b

3 = -1/2(1) + b

3 = -1/2 + b

b = 7/2

Step 3: Rewrite perpendicular linear equation

y = -1/2x + 7/2

ZJSG09112007

Answer:

y = -1/2x +7/2

Step-by-step explanation:

[tex]y = 2x-1\\m = 2\\For -perpendicularism ; M_1M_2 = -1\\2M_2 =-1\\M_2 =-1/2\\(1,3)\\Substitute ; (1,3)- into -slope- and- intercept- form\\y = mx+b\\x_1 = 1\\y_1 = 3\\3 = -1/2(1) + b\\3 = -1/2 +b\\3+ 1/2 = b\\b = 7/2\\m = -1/2\\Substitute -new-values-into-slope-intercept-form\\y = mx+b\\y = -\frac{1}{2} x +\frac{7}{2}[/tex]

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