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What is the equation of the line which is perpendicular to y = 2x + 2 and passes through the point (0, 6)?

Sagot :

reinhard10158

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case : 2

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case (2 = 2/1) y increases by 2 for every x increase by 1.

now, the perpendicular slope simply changes x and y upside-down and flips the sign.

in our case it is : -1/2

so, the line function looks like

y = (-1/2)x + b

b is the y-intercept, and we get it by using the coordinates of the point as x and y

6 = (-1/2)×0 + b = b

the full line equation is

y = (-1/2)x + 6

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