A line perpendicular to y = 1/4x + 3 passes through the point (0,6). Which other point lies on the line?

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Answer 1 · 2018-05-25T14:51:10

#color(brown)(4x + y = 6#

#y = (1/4) x + 3#

It’s in slope-intercept form #y = mx + c#

Slope #m = (1/4)#

Slope of perpendicular line #= -(1/m) = -4#

Point-slope equation form is #y-y_1 = m (x-x_1)#

Equation of the perpendicular line passing through point (0,6) is

#y - y_1 = -(1/m) (x - x_1)#

#y - 6 = -4 (x - 0)#

#color(brown)(4x + y = 6#