Browse · MATH
Printjmc
algebra intermediate
Problem
Line has equation , and line with equation is perpendicular to line at . What is the -coordinate of the point on that has -coordinate 6?
Solution
We find the equation of first. Since it is perpendicular to , its slope must be . Thus . Since also passes through the point , we can find the equation of line by substituting 2 for and for in 's point-slope form: , where is the -intercept of . . Thus, at , the equation of line has y value .
Final answer
0