Find the equation of the line in standard form that passes through the following points. eliminate any fractions and simplify your answer. (4,7) and (−12,3)

(4,7)(-12,3)
slope = (3 - 7) / (-12 - 4) = -4/-16 = 1/4

y = mx + b
slope(m) = 1/4
use either of ur points (4,7)...x = 4 and y = 7
now sub and find b, the y int
7 = 1/4(4) + b
7 = 1 + b
7 - 1 = b
6 = b

so ur equation is : y = 1/4x + 6...but we need it in standard form

y = 1/4x + 6...subtract 1/4x from both sides
-1/4x + y = 6 ...multiply both sides by -4
x - 4y = -24 <== standard form