the lines shown below are perpendicular. if the green has a solpe of -1/4, what is the slope of the red line?​

[tex]\huge{\boxed{4}}[/tex]The slope of a perpendicular line is the opposite reciprocal of the given line's slope.The slope of the green line is [tex]-\frac{1}{4}[/tex].First, find the opposite of this. [tex]-\frac{1}{4} * -1 = \frac{1}{4}[/tex]Then, find its reciprocal by flipping the numerator and the denominator. [tex]\frac{4}{1} = \boxed{4}[/tex]This means the slope of the red line is [tex]\boxed{4}[/tex].Note: You forgot to attach the graph of the shown lines, but given the slope of one line, I was able to find the slope of the other, knowing that the two lines are perpendicular, which makes an X formation.