Answer:
5x + 7y = -73
Step-by-step explanation:
In the equation 5x + 7y = 12, the coefficients of x and y determine the slope of the line. The equation of a line parallel to 5x + 7y = 12 has the same such coefficients, but a different constant (not 12).
Rewrite the given 5x + 7y = 12, replacing the constant (12) by C, and then substitute the coordinates (-2, -9) to determine the new constant:
5(-2) + 7(-9) = C, and so -10 -63 = -73 = C
Finally, the new equation is 5x + 7y = -73.
