A line is perpendicular to y = -1/2x-1
and intersects the point (6,9).
What is the equation of this
perpendicular line?

y= 2x -3

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, this is your current equation: y= 2x + b. Next, substitute your point into the equation to get the y-intercept. It should look like this: 9=2(6) + b. 6 times 2 equals 12. Now, this is what it should look like: 9=12 + b. Subtract 12 from both sides to get -3 = b. Go back to your original equation and plug in -3 to b. This is your final equation: y= 2x -3. Hope this helped!