Question

If C=24, what values of A and B complete Ax+By=C for each graph? Write the standard form for each equation.

Answer 1

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