A linear equation that passes through (-6,-5) and parallel to 2x-3y=12

y = 2/3x-1

Step-by-step explanation:

The general formula for linear graph is y=mx + c. Let's convert the equation of the parallel line to be same as the formula:

2x-3y = 12

-3y = 12 - 2x

y = 2/3x-4

Parallel lines won't ever be met because a couple of parallel lines will have the same slope (m). We know how much m is (m=2/3), then we just need to find c. We can do it by adding the value of the coordinate that the line pass (-6, - 5). The calculation will be:

y=mx + c

-5 = (2/3) (-6) + c

c = - 5 + 4

c = - 1

The equation will be:

y=mx + c

y = 2/3x-1