Answer:
Step-by-step explanation:
For graph (a),
Let the equation of the line is,
Ax + By = C
For the line passing through (4, 0) and C = 24,
4A + B(0) = 24
4A = 24
A = 6
For a point (0, -3) lying on this line,
A(0) + B(-3) = 24
-3B = 24
B = -8
Therefore, equation of the line will be,
6A - 8B = 24
3A - 4B = 12
b). If the equation of the given line is,
Ax + By = 24
For a point (3, 0) lying on the line,
3A + B(0) = 24
A = 8
For a point (0, 2) lying on the line,
A(0) + 2B = 24
2B = 24
B = 12
Therefore, equation of the given line will be,
8A + 12B = 24
2A + 3B = 6