Answer:
The Answer is: y = -2/5x - 16/5
Step-by-step explanation:
Given point: (-3, -2)
Given line:
2x = 3 - 5y
Solve for y, to get the slope m. The parallel line will have the same slope.
2x = 3 - 5y
-5y + 3 = 2x
-5y = 2x - 3
y = -2/5x - 3/5, the slope is -2/5.
Use the point slope form using -2/5 and point (-3, -2) to find the new equation:
y - y1 = m(x - x1)
y - (-2) = -2/5(x - (-3))
y + 2 = -2/5x - 6/5
y = -2/5x - 6/5 - 2
y = -2/5x - 6/5 - 10/5
y = -2/5x - 16/5
Proof:
Solve for f(-3):
f(x) = -2/5x - 16/5
f(-3) = -2/5(-3) - 16/5
f(-3) = 6/5 - 16/5
f(-3) = -10/5 = -2, giving the point (-3, -2)
