Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2/3(x-12)

For this case we have that by definition, the standard form of a linear equation is given by:

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

We have the following point-slope equation of a line:

The slope is:

We find the slope of a perpendicular line:

Thus, the equation is of the form:

We have the point through which the line passes:

Thus, the equation is:

We manipulate algebraically:

We add 3 to both sides of the equation:

We multiply by 2 on both sides of the equation:

We subtract 3x on both sides:

We subtract 12 from both sides:

answer: it is 1: 47 pm

the correct answer to your question is a. 4^4

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