Answer:
C choice.
Step-by-step explanation:
Since line a is given a slope as -4.
Another line which is line b is given that it's perpendicular to line a or we can say that line a is perpendicular to line b.
Perpendicular is defined as:
[tex] \displaystyle \large{m_1m_2 = - 1}[/tex]
Both slopes multiply and yield -1.
We know that m1 is -4; we want to find m2 which is slope of line b.
[tex] \displaystyle \large{ - 4m_2 = - 1}[/tex]
Divide both sides by -4.
[tex] \displaystyle \large{ \frac{ - 4m_2}{ - 4} = \frac{ - 1}{ - 4} } \\ \displaystyle \large{ m _2 = \frac{1}{4} }[/tex]
Therefore, the slope for line b is 1/4.
Thus, the C choice is correct.
