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Rina8888 [55]
3 years ago
15

The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contai

ns point (−1, 1).
y = 1 over 2 x − 3 over 2
y = − 1 over 2 x − 3 over 2
y = 1 over 2 x + 3 over 2
y = negative 1 over 2 x + 3 over 2
Mathematics
1 answer:
densk [106]3 years ago
7 0

Answer:

third option

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 = - 2x - 5 ← is in slope- intercept form

with slope m = - 2

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2} , then

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 1) into the partial equation

1 = - \frac{1}{2} + c ⇒ c = 1 + \frac{1}{2} = \frac{3}{2}

y = \frac{1}{2} x + \frac{3}{2} ← equation of perpendicular line

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