The equation of the line that passes through the point (x, y) = (5, - 2) and is perpendicular to the line y = - x - 3. (None of the choices)
How to write an equation of the line
Herein we must find the equation of the line that passes through a point and is perpendicular to another line. First, we determine the slope of the new line according to this formula from analytical geometry:
m' = - 1 / m
m' = - 1 / (- 1)
m' = 1
And finally we find the y-intercept of the new equation of the line:
b = y - m' · x
b = - 2 - 1 · (5)
b = - 2 - 5
b = - 7
The equation of the line that passes through the point (x, y) = (5, - 2) and is perpendicular to the line y = - x - 3. (None of the choices)
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