Method 1: Copy 3x + 2y = 10 and then replace the constant, 10, with C:
3x + 2y = C Now let -2 replace x and 3 replace y: 3(-2) + 2(3) = C
Evaluate C: -6 + 6 = C = 0
Thus, the desired equation is 3x + 2y = 0.
Method 2: Solve 3x + 2y = 10 for y: 2y = -3x - 10. Then the slope is m = -3/2.
Use the point-slope formula:
y - 3 = (-3/2)(x-[-2]), or y - 3 = (-3/2)(x+2)
Show that this is equivalent to 3x + 2y = 0.
