118k views
5 votes
what is the equation of the through point (-3,6) that prependicular to the line y=3x-10 in slope intercept form ?

1 Answer

5 votes

y=3x-10\\\\ General\ formula:\\y=ax+b\\\\ Line\ is\ perpendicular when\ new\ a=-(1)/(a)\\y=-(1)/(3)x+b\\\\ Passes\ through\ (-3,6):\\6=-3(-(1)/(3))+b\\6=1+b\ \ \ | subtract\ 1\\b=5\\\\ Equation\ for\ line\ is\ y=-(1)/(3)+5
User Monkeyking
by
8.7k points