Identify an equation in point-slope form for the line perpendicular to y = 3x -7 that passes through (-2, -6).

This equation is y = mx + b, where m is the slope.

If y = mx + b is ?// to y = - 3x + 7, that means they have the SAME SLOPE, so

y = - 3x + b. To calculate b, plug in the related value of (2,-4)

- 4 = - 3(2) + b

- 4 = - 6 + b  and b = -4 + 6 = +2

Hence the final equation is y = -3x +2

Step-by-step explanation:

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