Question 683480
Perpendicular lines have a negative inverse, reciprocal, slope.
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Using the line y = 6x+10, the slope is 6
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A perpendicular line will have a slope of {{{-1/6}}}
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use the slope and point (0, -4) to find the equation via point-slope
y - -4 = {{{-1/6}}}(x-0)
y + 4 = {{{-1/6}}}x
{{{highlight_green(y=(-1/6)x - 4)}}}
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{{{graph(300,200,-10,10,-10,14,6x+10,(-1/6)x-4)}}}
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