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Sonja [21]
3 years ago
12

Which of the following is the equation of a line perpendicular to the line y =

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

y = \frac{1}{10} x + \frac{13}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 1 ← is in slope- intercept form

with slope m = - 10

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-10} = \frac{1}{10}, thus

y = \frac{1}{10} x + c ← is the partial equation

To find c substitute (5, 7) into the partial equation

7 = \frac{1}{2} + c ⇒ c = 7 - \frac{1}{2} = \frac{13}{2}

y = \frac{1}{10} x + \frac{13}{2} ← equation of line

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