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Mathematics 12 Online
OpenStudy (anonymous):

Choose the equation of the line passing through the point (-1, -2) and perpendicular to y = 1/4x + 2.

OpenStudy (anonymous):

Two things here: #1. The slopes of perpendicular lines are negative reciprocals of one another. In the case of your example, our slope is 1/4. So the line perpendicular to it would have a slope of -4.

OpenStudy (anonymous):

From here use the point slope formula to get an equation of the line passing through (-1,-2) with a slope of -4. \[y-y _{1}=m(x-x _{1})\]

OpenStudy (anonymous):

Plugging in our point into our equation we get: y - (-2) = -4 (x - (-1))

OpenStudy (anonymous):

Solving for y: y + 2 = -4x - 4 y = -4x - 6

OpenStudy (anonymous):

thank you

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