Answer:
2x +3y = -27
Explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel line
A parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27