Find the equation of the line that is perpendicular to 2y =−3x and passing through(12​,- 3​). Express your answer in standard form

Question

Equation of the line

Answer 1

2y =- 3x is a line with a slope of -3/2

 

The line you need would have a slope of 2/3  (The negative reciprocal)

 

In point slope form your lne would be

 

y+3 = 2/3(x-12)

 

We can multiply by 3 on both side and rearrange in standard form:

 

3y + 9 = 2(x-12) = 2x - 24

 

2x - 3y = 33   ANSWER