Answer:
[tex]y= -\frac{1}{2}x+5[/tex]
Step-by-step explanation:
When lines are perpendicular to each other, the slopes are negative reciprocals.
The slope of line y=2x+11 is 2. The negative reciprocal of that is -1/2.
Next, plug in the x and y values so we can get b (y intercept).
[tex]3= -\frac{1}{2}(4)+b\\ 3=-2+b\\5=b[/tex]
Our equation is [tex]y= -\frac{1}{2}x +5[/tex]
