Question

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)

Answer 1

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

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).