Find the equation of a line that passes through the points (4, 1) and (12, -3).

Answer 1

(4,1) and (12, -3) have a line through them with the equation found by setting slope = slope= "rise over run" = the difference in y coordinates divided by the difference in x coordinates:

(1+3)/(4-12) = (y-1)/(x-4)

simplify

y-1 = (-1/2)x +2

y = -x/2 +3 in slope intercept form

or eliminate the fraction to get

x+2y = 6 in standard form