Answer:
y = 1/2x + 1
Explanation:
To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.