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

y = - x + 6

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 slope- intercept form

with slope m = 3

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

= - = - , thus

y = - x + c ← is the partial equation

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

5 = - 1 + c ⇒ c = 5 + 1 = 6

y = - x + 6 ← equation of perpendicular line

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step-by-step explanation: