Question

Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.y = -2x + 1y = 2 + 1y = -x + 1y=x+1

Answer 1

The equation of the perpendicular line is y = (1/2)x + 1.

Step-by-step explanation:

To find the equation of a line that is perpendicular to the line 2x + y = 4 and has a y-intercept of 1, we need to determine the slope of the original line first. The equation of the original line can be rearranged to y = -2x + 4. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the perpendicular line will be 1/2. Plugging in the given y-intercept of 1 and the slope of 1/2, the equation of the perpendicular line is y = (1/2)x + 1.