Answer:
The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.
Step-by-step explanation:
Given a point: (4, 8)
Given and equation:
y = 1/2x - 3
Write an equation parallel that passes through the point (4, 8).
Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:
y - 8 = 1/2(x - 4)
Solve for y to get the slope intercept form:
y - 8 = 1/2x - 2
y = 1/2x - 2 + 8
y = 1/2x + 6
Proof:
Solve for f(x) when x = 4
f(4) = 1/2x + 6
= 1/2(4) + 6
= 2 + 6 = 8, giving the point (4, 8)
