Question

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

Answer 1

Answer:

y=1/2x +4

Step-by-step explanation:

Parallel lines have the same slope 1/2

and passes through (-4,2)

first we should use the equation form y-2=1/2(x-(-4))

y-2=1/2x +2  y=1/2x+4

Answer 2

Answer: 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