Question

Write the equation of the line that goes through the point (-1, 4) and is
perpendicular to y = -1/2 X + 2. Show your work.

Answer 1

Answer:

y = 2x + 6

Step-by-step explanation:

To find the perpendicular equation of this line, you must find the opposite-reciprocal. The opposite slope of -1/2 is 2. Then plug in your x and y terms and you get the equation:

4 = 2(-1) + b

4 = -2 + b

+2  +2

6 = b

So...

y = 2x + 6

Let me know if you need a further explanation.