Answer
x-intercept: 4
y-intercept: 3
$3x + 4y = 12$
Work Step by Step
(4,0) and (0,3) are given
$m = (3-0)/(0-4)$
$m = -3/4$
$y = mx+b$
$0 = -3/4*4 + b$
$0 = -3 + b $
$0+3 = -3 + b + 3$
$3 = b$
$y = -3/4*x + 3$
$4 *y = 4* (-3/4x + 3)$
$4y = -3x + 12$
$4y +3x = -3x + 12 + 3x$
$3x + 4y = 12$