Write an equation of the line that passes through (8,1) and is perpendicular to the line 2y+4x=12.

y=1/2x-3

Step-by-step explanation:

To solve for the slope of this equation, we have to find the negative reciprocal of the slope of 2y+4x=12.

To solve for the slope of 2y+4x=12, we do -a/b, which is -4/2, which simplifies to -2.

From here, we get the negative reciprocal of -2, which is 1/2. This is the slope for the new equation.

The y-intercept is -3.

Now we can substitute the values into the equation to get an answer of:

y=1/2(slope)x - 3(y-intercept)

Hope this helps! :)