y = - 2x + 10
the equation y = [tex]\frac{1}{2}[/tex] x + 3 is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
given a line with slope m then the slope of a line perpendicular to it is m₂ = - [tex]\frac{1}{m}[/tex]
perpendicular slope = - 2
partial equation is y = - 2x + c
to find c substitute (1, 8 ) into the partial equation
8 = - 2 + c ⇒ c = 8 + 2 = 10
y = - 2x + 10 ( equation in slope-intercept form )
