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December 11th, 2017, 08:48 AM   #1
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Need help with this equation

Write an equation for the line in point-slope form and slope-intercept form. Passing through the point (2,3) and perpendicular to the line y=5x+1.

Thanks in advance!
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December 11th, 2017, 10:14 AM   #2
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what's the slope, $m^\perp$ of a line perpendicular to a line with slope $m$ ?

what's the slope of the line given by $y=5x+1$ ?

so what is the slope of a line perpendicular to this line?

given that and a point, point-slope form is easy enough.

$(y-y_0) =m^\perp(x-x_0)$ where $(x_0,y_0)$ is any point on the line.

do a tiny bit of algebra on that and you've got slope-intercept form

$y = m^\perp x + b$
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