identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)
Accepted Solution
A:
Answer: y-4 = (-1/3)(x+1)Step-by-step explanation:We need to identify the equation in point slope form.The standard equation of point slope form is:(y-y₁) = m (x-x₁)where m is the slope and x₁ and y₁ are the pointsWe are given point(4,-1) so, x₁=4 and y₁=-1And a perpendicular line: y =3x+5Which is equal to y = mx+bwhere m is slope so, slope m = 3Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/mi.e, m = -1/3So, the equation in point slope form is:y-(-1) = (-1/3)(x-4)=> y+1 = (-1/3)(x-4)