Aline passes through (-3,-2) and is perpendicular to 3x - 2y = 7.
What is the equation of the line in slope-intercept form?

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 )

Rearrange 3x - 2y = 7 into this form by subtracting 3x from both sides

- 2y = - 3x + 7 ( divide all terms by - 2 )

y = x - ← in slope- intercept form

with slope m =

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, - 2) into the partial equation

- 2 = 2 + c ⇒ c = - 2 - 2 = - 4

y = - x - 4 ← equation of perpendicular line

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