Question

I need some help please?

Answer 1

C choice.

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:

`\displaystyle \large{m_1m_2 = - 1}`

Both slopes multiply and yield -1.

We know that m1 is -4; we want to find m2 which is slope of line b.

`\displaystyle \large{ - 4m_2 = - 1}`

Divide both sides by -4.

`\displaystyle \large{ ( - 4m_2)/( - 4) = ( - 1)/( - 4) } \\ \displaystyle \large{ m _2 = (1)/(4) }`

Therefore, the slope for line b is 1/4.

Thus, the C choice is correct.