Answer:
y = (1/2)x - 2
Explanation:
To find the equation of a line perpendicular to the line 4x + 2y = 6, we need to determine the slope of the perpendicular line. The slope of the given line is -2, so the slope of the perpendicular line would be the negative reciprocal, which is 1/2.
Since the perpendicular line has the same y-intercept as the line 2x + y = -2, we can use the y-intercept (-2) to write the equation in slope-intercept form: y = mx + b.
Therefore, the equation of the line perpendicular to 4x + 2y = 6 with the same y-intercept as 2x + y = -2 is y = (1/2)x - 2.