Write an equation for a line parallel to: y = 1/2 x + 4 that goes through the point (3, 5)

question 7 options:

y - 5 = 1/2 (x -3)

y - 5 = -2 (x - 3)

y - 3 = 1/2 (x - 5)

y - 3 = -2 (x - 5)

The first option, y - 5 = 1/2 (x -3)

Step-by-step explanation:

If the lines are parallel, that means that the slope is the same and in this case the slope is 1/2. The format of the equations are point-slope form: y-y1=m(x-x1). m stands for the slope so we can eliminate the 2nd and 4th option. x1 and y1 stand for a point (x1, y1). and we can replace that with the given information (3,5). Then we can rewrite the whole equation using the given info. y - 5 = 1/2 (x -3).

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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