What is the equation of the line that passes through (4,8) and is parallel to the graph y=1/2x-3 ?

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)

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step-by-step explanation: