Write an equation of a line parallel to y =1/2x + 3 that passes through (2,5)

Question

Write an equation of a line parallel to y =1/2x + 3 that passes through (2,5)

Answer 1

Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2

Use Point-Slope equation [y-y₁ = m(x-x₁)] with the given point (2,5): y-5=1/2(x-2)

Distribute the 1/2: y-5=1/2x-1

Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5

Answer:

y=1/2x+4

Hope this helps! Let me know if you have any questions.

-TutorB

Answer 2

Parallel lines have the same slope.

5 = (1/2)(2) + b

5 = 1 + b

b = 4

y = 1/2x + 4

or..

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

y - 5 = 1/2x - 1

y = 1/2x + 4