Find the equation of the line that contains points (-2, -9) and is parallel to the line 5X + 7y = 12

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.

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step-by-step explanation: