Passes through (3,-1), perpendicular to the graph y= -1/3x-4 into slope intercept form

y = 3x - 10

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 = - x - 4 ← is in slope- intercept form

with slope m = -

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

= - = - = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (3, - 1 ) into the partial equation

- 1 = 9 + c ⇒ c = - 1 - 9 = - 10

y = 3x - 10 ← equation of perpendicular line

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step-by-step explanation:

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