Find the points of intersection (if any)of the given pair of curves. y = x + 8 and y = 2x + 4
A)(12,20)
B)(4,12)
C)(1,-4)
D)(0,6)

Question

Quizplus · Accepted Answer

To find the points of intersection, set the two equations equal to each other:

x + 8 = 2x + 4

Solving for x, we get:

x = 4

Plugging x = 4 back into either equation, we get:

y = 4 + 8 = 12

Therefore, the point of intersection is (4, 12), which corresponds to choice B.

Find the Points of Intersection (If Any)of the Given Pair