perpendicular to y=-2x-2 passes through 2,3

Answer 1

Perpendicular slopes are opposite in sign and reciprocals or flips of one another.

Recall y=mx+b is slope intercept form of a line where m is the slope. Comparing to your line notice your slope is -2 or -2/1.

So the perpendicular slope is 1/2.

Take this slope m=1/2 and the given point (x,y) = (2,3) and sub in to y=mx+b and determine b.

3=(1/2)(2) +b

3=1 + b

2=b.

Now with m and b you can write your perpendicular line by replacing them in y=mx+b, i.e.,

y= (1/2)x +2.