Answer: 3x - 4y = -12
Step-by-step explanation:
Intercept form is x/a + y/b = 1, where a is the x-intercept and b is the y-intercept. From the question we have:
x-intercept = -4 (a = -4)
y-intercept = 3 (b = 3)
So we can plug this into the intercept form equation:
x/a + y/b = 1
x/-4 + y/3 = 1
(The LCM of -4 and 3 is -4x3 = -12, so we can multiply both sides of the equation by -12 to get rid of the denominators)
-12x/-4 + -12y/3 = -12 (Cancelling)
3x + (-4y) = -12
3x - 4y = -12
