What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3(x – 6) and passes through the point (−2, −2)?

The equation of required line is .

Step-by-step explanation:

If a line passes through a points with slope m, then the point slope form of the line is

The given equation of line is

It means the slope of this line is .

Product of slopes of two perpendicular lines is -1. So, the slope of perpendicular line is .

The slope of required line is and it passes through the point (-2,-2). So, the equation of line is

Subtract 2 from both sides.

Therefore, the equation of required line is .

y= -

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step-by-step explanation: