Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=-3x+2

y = x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 3x + 2 is in this form with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

= - = - =

y = x + c ← is the partial equation

to find c substitute (3, 5 ) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = x + 4 ← equation of perpendicular line

its definatley   this on your answer choice?