Question

Answer please serious answers only

Answer 1

u = -7/4

Explanation:

This is correct because to find the perpendicular, you need to find the opposite reciprocal of the slope. In this case, the slope is 4/7, so the opposite reciprocal is -7/4.

Answer 2

`\displaystyle m_u=-(7)/(4)`

Explanation:

Perpendicular Lines

If two lines t and u are perpendicular and have slopes mt and mu respectively, then the following relationship is satisfied:

`m_t\cdot m_u=-1`

Knowing line t has a slope of \frac{4}{7}, then the slope of line u can be found by solving for mu:

`\displaystyle m_u=-(1)/(m_t)`

`\displaystyle m_u=-(1)/((4)/(7))`

Operating:

`\mathbf{\displaystyle m_u=-(7)/(4)}`