Question

A line passes through point (6, -6) and has a slope of -4/3

Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
-

Answer 1

4x + 3y = 6

A = 4

B = 3

C = 6

Explanation:

A line have a function:

y = ax + b

Because the line has a slope of - 4/3

=> a = - 4/3

=> y = - 4/3 x + b

Because the line go through point (6; - 6)

=> - 6 = - 4/3 .6 + b

=> b - 8 = - 6

=> b = 2

=> The function of the line

y = - 4/3 x + 6

=> 3y = - 4x + 6

=> 4x + 3y = 6