Question 409457
First of all, {{{y = mx + b}}} is not a formula, it is simply a general equation of a line (in slope-intercept form). Just like the other tutor said, there is no formula involved in this problem.


The slope is -1, so we already know {{{m = -1}}}.


Since (-2, 5) is a point on the line, then we can substitute x = -2, y = 5 into our equation {{{y = (-1)x + b}}} (because if a point lies on the line then equality must occur) to obtain {{{5 = (-1)(-2) + b}}} --> {{{b = 3}}}. Hence, the equation of the line is {{{y = -x + 3}}}.


{{{graph(200, 200, -10, 10, -10, 10, -x+3)}}}