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ss7ja [257]
2 years ago
14

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Mathematics
1 answer:
alexandr1967 [171]2 years ago
3 0

Answer:

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

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 + 2 ← 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}

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

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

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