Answer:
The Answer is: The point slope form of the equation that is parallel to the given equation and passes through the point (4, 2) is: y = 3/2x - 4
Step-by-step explanation:
Given point: (4, 2)
Given equation:
3x - 2y = -6
Solve for y, to obtain slope m:
-2y = -6 - 3x
y = 3/2x + 3, so the slope m = 3/2. A parallel line has the same slope.
Use the point slope form and substitute the point (4, 2):
y - y1 = m(x - x1)
y - 2 = 3/2(x - 4)
y - 2 = 3/2x - 6
y = 3/2x - 6 + 2
y = 3/2x - 4
Proof:
Find f(x) for x = 4
f(x) = 3/2(4) - 4
f(x) = 6 - 4 = 2, giving the point (4, 2)
