What is the equation of a line that passes through (2,6) and is perpendicular to the line y=-2x+4

y = 1/2x + 5

Step-by-step explanation:

The first thing you should know about a perpendicular line is that the slope is the opposite reciprocal. So, the slope is 1/2. This is your current equation: y= 1/2x + b. Plug in your point to the equation, it should look like this: 6 = 1/2(2) + b. 1/2 x 2 equals 1. This is what it should look like: 6 = 1 + b. Subtract 1 from both sides to get 5 = b. Go back to your original equation and plug in 5. This is your final equation: y = 1/2x + 5. Hope this helped!