Answer:
y = 2x-4
Step-by-step explanation:
x + 2y = 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
First find the slope of the line
2y = -x+2
Divide by 2
y = -1/2x +1
The slope of this line is -1/2
We want a line that is perpendicular, which is the negative reciprocal
-1 /(-1/2) = 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the line
6 = 2(5)+b
6 = 10+b
6-10 =b
-4=b
y = 2x-4
