Answer:
[tex]\displaystyle m_u=-\frac{7}{4}[/tex]
Step-by-step explanation:
Perpendicular Lines
If two lines t and u are perpendicular and have slopes mt and mu respectively, then the following relationship is satisfied:
[tex]m_t\cdot m_u=-1[/tex]
Knowing line t has a slope of \frac{4}{7}, then the slope of line u can be found by solving for mu:
[tex]\displaystyle m_u=-\frac{1}{m_t}[/tex]
[tex]\displaystyle m_u=-\frac{1}{\frac{4}{7}}[/tex]
Operating:
[tex]\mathbf{\displaystyle m_u=-\frac{7}{4}}[/tex]
