Passes through (- 4, 2) , parallel to the line whose equation is y = 1/2 * x + 5

g = (1/2)*x + 4

Step-by-step explanation:

Two linear equations are parallel if the slopes are equal in both equations.

Then, if we want to find a parallel line to the equation:

y = (1/2)*x + 5

we must have an equation of the form:

g = (1/2)*x + b

now, we need that our line passes trough the point (-4,2) this means that when x = -4, g = 2, so we must replace those values and we will find the value of b.

2 = (1/2)*-4 + b

2 = -2 + b

2 + 2 = b

b = 4

then our line is equal to:

g = (1/2)*x + 4

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