SOLUTION: perpendicular to 3x-2y=-1; through (2,-7) find an equation of each line function notation satisfying the conditions given.

Question 106451This question is from textbook intermediate algebra
: perpendicular to 3x-2y=-1; through (2,-7)
find an equation of each line function notation satisfying the conditions given. This question is from textbook intermediate algebra

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
In order to find a perpendicular line, you first need to find the slope of the original line and then find the negative reciprocal.

needs to be put into form.

Hence, the slope of the line is and the slope of any perpendicular line would be

also, since y is a function of x in this case, the equation in function notation would be

Since you are given a point to further define your perpendicular, you need to use the point-slope form of a line, given by:

Substituting:

And rearranging into slope-intercept form:

or in function notation,

EXTRA CREDIT: Graph these two lines and verify visually that they are perpendicular.
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