The linear function that has a graph perpendicular to y = 2x – 4 is given by:
D. 2x + 4y = 1
A linear function is modeled by:
y = mx + b
In which:
If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2} = -0.5[/tex]
Hence option D is correct, as:
2x + 4y = 1
4y = -2x + 1
y = -0.5x + 0.25
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1