if i find the y intercept it would be y = b
if i find the x intercept it would be x = -b/m
so the sum would be b - (b/m)
which still doesnt make sense do i solve for m in the other equation?
Hi i was wondering if anyone could help me with this calculus optimization problem i know how to do most optimization problems but this one stumps me.
Some lines through the point (2,1) cut off a triangle in the 1st quadrant. Find the x - intercept of the line with the property that the sum of its x and y intercepts is a minimum.
*What i know so far is that the equation of any line is y = mx + b
*The x intercept would be when y = 0 so 0 = mx + b
*The y intercept would be when x = 0 so y = b essentially
*I am not sure if this would be true but the equation of any line on that point would be 1 = 2m + b
I am not sure what to do from this point.
Help would be greatly appreciated
the line through has equation ...
the y-intercept is
the x-intercept is
the sum of the intercepts is ...
Determine the value of the slope (remember it must be negative) that minimizes the sum, ... then find the x-intercept.