In the xy-plane, line w passes through point (3,-2) and intersect perpendicularly with line n that ...
In the xy-plane, line w passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line w?
Answer/Solution
3x+2y-5=0
Steps/Work
If two lines intersect perpendicularly, we get -1 when we multiply two slopes together. The slope of a line n is (5-3)/(3-0)=2/3. Hence, the slope of a line w should be -3/2. Since it crosses (3,-2), if we calculate we get 3x+2y=5. Hence, the correct answer is A.