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The equation in point-slope form of the line which passes through (-2, 3) and is parallel to 3x + 2y = 10 is

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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.
User RoShan Shan
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