Find the equation of the line in standard form that goes through the point (-2,1) and is parallel to the line containing (1,4) and (2,3).

Answer 1

slope is rise over run. x changed from 1 to 2, run=1, y changed from 4 to 3, rise=-1. so slope = -1
At (-2,1), increase x by 2 to 0, y must change by -2, from 1 to -1. So at x=0, y=-1; the y-intercept. Ergo y=-x-1