Question

Question 4

Which is the equation of the line that is parallelto y = 2x +1 and goes through the point (3,9)?
y=2x+3
y= -1/2x +9
y=2x+9
y=-1/2x+3

Answer 1

parallel → the same slope

slope: y = 2x +1 → m = 2

y=2x+3 ⇔ 2(3)+3=6+3=9

y=2x+9 ⇔ 2(3)+9=6+9=15≠9

⇒ answer: y=2x+3

Answer 2

y=2x+3

Explanation:

Using the point-slope form of the equation of a line, we can write:

y - 9 = 2(x - 3)

Simplifying, we get:

y - 9 = 2x - 6

y = 2x + 3

Therefore, the equation of the line that is parallel to y=2x+1 and goes through the point (3,9) is y=2x+3.