I don't get this

The equation of a line is ax + by = c. If the value of some point on the line is d, what is the full coordinate of the point, in terms of a, b, c, d?

Reply 1

MP_25

i'd assume first thing you would do is rearrange the equation to make y the subject so ax + by = c > by = -ax +c
then into y = (-ax +c) / b so that would be your y co-ord
and then for the x co-ord rearrange in terms of x > ax = -by + c then into x = (-by +c) / a

therefore making d = ( (-by+ c) / a , (-ax + c) / b ) ?
honestly i've not seen a question quite like that so i'm not too sure how correct that is but it's how i would approach the question, hope it helps :smile: